Graphing - Geometry
Card 1 of 832
Which point best represents the coordinate
?

Which point best represents the coordinate ?

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To get to
, move left on the x-axis by
then move down the y-axis by
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
To get to , move left on the x-axis by
then move down the y-axis by
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
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Which point best represents the coordinate
?

Which point best represents the coordinate ?

Tap to reveal answer
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
To get to
, move right on the x-axis by
, then move down on the y-axis by
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
To get to , move right on the x-axis by
, then move down on the y-axis by
.
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Which point best represents the coordinate
?

Which point best represents the coordinate ?

Tap to reveal answer
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
To get to
, move right on the x-axis by
then move down on the y-axis by
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
To get to , move right on the x-axis by
then move down on the y-axis by
.
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Which point best represents the coordinate
?

Which point best represents the coordinate ?

Tap to reveal answer
To get to
, move right along the x-axis by
, then move up on the y-axis by
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
To get to , move right along the x-axis by
, then move up on the y-axis by
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.
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Which point best represents the coordinate
?

Which point best represents the coordinate ?

Tap to reveal answer
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.
To get to
, move left on the x-axis by
, then move up on the y-axis by
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.
To get to , move left on the x-axis by
, then move up on the y-axis by
.
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Which point best represents the coordinate
?

Which point best represents the coordinate ?

Tap to reveal answer
To get to
, move left on the x-axis by
, then down on the y-axis by
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.
To get to , move left on the x-axis by
, then down on the y-axis by
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.
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Which point best represents the coordinate
?

Which point best represents the coordinate ?

Tap to reveal answer
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.
To get to
, only move right on the x-axis by
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.
To get to , only move right on the x-axis by
.
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In the standard xy coordinate plane, what quadrant(s) could point A lie in, if its x-coordinate and y-coordinate have opposite signs?
In the standard xy coordinate plane, what quadrant(s) could point A lie in, if its x-coordinate and y-coordinate have opposite signs?
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We know that right of the origin represents the positive x-direction, and above the origin represents the positive y-direction. For Quadrant I, both the x-coordinate and y-coordinate must be positive, i.e. (+,+). For quadrant II, the x-coordinate is negative, while the y-coordinate is positive, i.e. (+, -). For Quadrant III, both coordinates must be negative, i.e. (-, -). For Quadrant IV, the x-coordinate is positive, and the y-coordinate is negative, i.e. (+, -).
We know that right of the origin represents the positive x-direction, and above the origin represents the positive y-direction. For Quadrant I, both the x-coordinate and y-coordinate must be positive, i.e. (+,+). For quadrant II, the x-coordinate is negative, while the y-coordinate is positive, i.e. (+, -). For Quadrant III, both coordinates must be negative, i.e. (-, -). For Quadrant IV, the x-coordinate is positive, and the y-coordinate is negative, i.e. (+, -).
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Which point best represents the coordinate
?

Which point best represents the coordinate ?

Tap to reveal answer
To get to
, move right along the x-axis by
, then up along the y-axis by
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.
To get to , move right along the x-axis by
, then up along the y-axis by
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.
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Which point best represents the coordinate
?

Which point best represents the coordinate ?

Tap to reveal answer
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin
. If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.
To get to
, move along the x-axis by
, then move up along the y-axis by
.
The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.
To get to , move along the x-axis by
, then move up along the y-axis by
.
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In which quadrant is the point
?
In which quadrant is the point ?
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The quadrants are numbered as follows:

The point (-2,3) has a negative x coordinate, so the point is on the left side of the y-axis, and a positive y-coordinate, so the point is above the x-axis.
That places it in quadrant II.
The quadrants are numbered as follows:
The point (-2,3) has a negative x coordinate, so the point is on the left side of the y-axis, and a positive y-coordinate, so the point is above the x-axis.
That places it in quadrant II.
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The point on the coordinate plane with coordinates
lies
The point on the coordinate plane with coordinates lies
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On the coordinate plane, a point with a negative
-coordinate and a negative
-coordinate lies in the lower left quadrant - Quadrant III.
On the coordinate plane, a point with a negative -coordinate and a negative
-coordinate lies in the lower left quadrant - Quadrant III.
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The point on the coordinate plane with coordinates
lies
The point on the coordinate plane with coordinates lies
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On the coordinate plane, a point with a positive
-coordinate and a positive
-coordinate lies in the upper right quadrant - Quadrant I.
On the coordinate plane, a point with a positive -coordinate and a positive
-coordinate lies in the upper right quadrant - Quadrant I.
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What ordered pair is shown below?

What ordered pair is shown below?

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The x-coordinate is the first one listed, and the y-coordinate is the second coordinate in the parentheses. You have to go either left or right with the x-coordinate, and the y-coordinate is the one on the vertical axis.
The point shown is in the IV quadrant, which means that the x-coordinate is positive, and the y-coordinate is negative.
The only point that fulfills those standards is
.
The x-coordinate is the first one listed, and the y-coordinate is the second coordinate in the parentheses. You have to go either left or right with the x-coordinate, and the y-coordinate is the one on the vertical axis.
The point shown is in the IV quadrant, which means that the x-coordinate is positive, and the y-coordinate is negative.
The only point that fulfills those standards is .
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Which of the following ordered pairs is in Quadrant III?
Which of the following ordered pairs is in Quadrant III?
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By definition, only Quadrant III contains ordered pairs that have both negative
- and
-coordinates.
By definition, only Quadrant III contains ordered pairs that have both negative - and
-coordinates.
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Point A represents a complex number. Its position is given by which of the following expressions?

Point A represents a complex number. Its position is given by which of the following expressions?
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Complex numbers can be represented on the coordinate plane by mapping the real part to the x-axis and the imaginary part to the y-axis. For example, the expression
can be represented graphically by the point
.
Here, we are given the graph and asked to write the corresponding expression.
not only correctly identifies the x-coordinate with the real part and the y-coordinate with the imaginary part of the complex number, it also includes the necessary
.
correctly identifies the x-coordinate with the real part and the y-coordinate with the imaginary part of the complex number, but fails to include the necessary
.
misidentifies the y-coordinate with the real part and the x-coordinate with the imaginary part of the complex number.
misidentifies the y-coordinate with the real part and the x-coordinate with the imaginary part of the complex number. It also fails to include the necessary
.
Complex numbers can be represented on the coordinate plane by mapping the real part to the x-axis and the imaginary part to the y-axis. For example, the expression can be represented graphically by the point
.
Here, we are given the graph and asked to write the corresponding expression.
not only correctly identifies the x-coordinate with the real part and the y-coordinate with the imaginary part of the complex number, it also includes the necessary
.
correctly identifies the x-coordinate with the real part and the y-coordinate with the imaginary part of the complex number, but fails to include the necessary
.
misidentifies the y-coordinate with the real part and the x-coordinate with the imaginary part of the complex number.
misidentifies the y-coordinate with the real part and the x-coordinate with the imaginary part of the complex number. It also fails to include the necessary
.
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The point on the coordinate plane with coordinates
lies
The point on the coordinate plane with coordinates lies
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On the coordinate plane, a point with a negative
-coordinate and a positive
-coordinate lies in the upper left quadrant - Quadrant II.
On the coordinate plane, a point with a negative -coordinate and a positive
-coordinate lies in the upper left quadrant - Quadrant II.
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Which of the following graphs represents the expression
?
Which of the following graphs represents the expression ?
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Complex numbers can be represented on the coordinate plane by mapping the real part to the x-axis and the imaginary part to the y-axis. For example, the expression
can be represented graphically by the point
.
Here, we are given the complex number
and asked to graph it. We will represent the real part,
, on the x-axis, and the imaginary part,
, on the y-axis. Note that the coefficient of
is
; this is what we will graph on the y-axis. The correct coordinates are
.
Complex numbers can be represented on the coordinate plane by mapping the real part to the x-axis and the imaginary part to the y-axis. For example, the expression can be represented graphically by the point
.
Here, we are given the complex number and asked to graph it. We will represent the real part,
, on the x-axis, and the imaginary part,
, on the y-axis. Note that the coefficient of
is
; this is what we will graph on the y-axis. The correct coordinates are
.
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Which of the following could be a value of
for
?
Which of the following could be a value of for
?
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The graph is a down-opening parabola with a maximum of
. Therefore, there are no y values greater than this for this function.
The graph is a down-opening parabola with a maximum of . Therefore, there are no y values greater than this for this function.
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What is the domain of
?
What is the domain of ?
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The domain of the function specifies the values that
can take. Here,
is defined for every value of
, so the domain is all real numbers.
The domain of the function specifies the values that can take. Here,
is defined for every value of
, so the domain is all real numbers.
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