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Q. 23

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Found in: Page 24

### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

# Plot each point. Then plot the point that is symmetric to it with respect to -(a) the x-axis(b) the y-axis(c) the originPoint (3, 4)

(a). (3,-4) is the point symmetric to (3,4) in the x-axis.

(b). (-3,4) is the point symmetric to (3,4) in the y-axis.

(c). (-3,-4) is the point symmetric to (3,4) in the x-axis.

See the step by step solution

Point (3,4)

## Part (a).  Step 2.  To Find

Plot the point that is symmetric to it with respect to the x-axis

## Part (a).  Step 3.  Explanation

• (x,-y) is the point symmetric to (x, y) in the x-axis.

Therefore, (3,-4) is the point symmetric to (3,4) in the x-axis.

The two point are shown in the graph below.

Point (3,4)

## Part (b).  Step 2.  To Find

Plot the point that is symmetric to it with respect to the y-axis

## Part (b).  Step 3.  Explanation

• (-x, y) is the point symmetric to (x, y) in the y-axis.

Therefore, (-3,4) is the point symmetric to (3,4) in the x-axis.

The two point are shown in the graph below

Point (3,4)

## Part (c).  Step 2.  To Find

Plot the point that is symmetric to it with respect to the origin.

## Part (c).  Step 3.  Explanation

• (-x,-y) is the point symmetric to (x, y) in the origin.

Therefore, (-3,-4) is the point symmetric to (3,4) in the origin.

The two point are shown in the graph below

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