Reading (x, y) from a Graph

This unit provides practice in reading the coordinates of points from a graph.

For Figure 1, when x = 1, what is the y-coordinate?

y = 3 corresponds to x = 1.

Express this point as an ordered pair.

The ordered pair is (1, 3).

Find the x-coordinate of a point with y-coordinate
equal to -1.

The point with y-coordinate of -1 has a corresponding x-coordinate of -3.

Express as an ordered pair.

(-3, -1)

Fill in the missing coordinate for the point that lies on the graph: (2, __)

The point is (2, 4).

Fill in the missing coordinate for the point that lies on the graph: (__, 1).

The point is (-1, 1).

In Figure 2, determine the y-coordinate for the point with x = 1.

y = -4 for the point at x = 1.

How many points have a y-coordinate of -3?

There are two points with a y-coordinate of -3.

Determine the x-coordinate of the left point with y = -3.

The left point is located at x = 0.

Determine the x-coordinate of the right point
with y = -3.

The right point has an x-coordinate of 2.

Express these as ordered pairs.

The ordered pairs are (0, -3) and (2, -3).

In general on a parabola, there are two points with any particular y-coordinate.

Fill in the missing coordinate for the two points (__, 5).

The points are (-2, 5) and (4, 5).

For Figure 3, consider the part of the graph in quadrant I. When x = 3, what is the value of y?

y = 4.

Express this point as an ordered pair.

The point is (3, 4).

Are there points in any other quadrant with x-coordinate = 3?

Yes.

Which quadrant?

Quadrant IV.

What is the y-coordinate of the point in Quadrant IV with x-coordinate = 3?

y = - 4 for the point in Quadrant IV having x = 3.

Express this point as an ordered pair.

The point in Quadrant IV is (3, -4).

How many points on the graph have
a y-coordinate = 3?

Two.

Express the left one as an ordered pair.

(-4, 3).

Express the right point as an ordered pair.

(4, 3).

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