• :00Days
  • :00Hours
  • :00Mins
  • 00Seconds
A new era for learning is coming soonSign up for free
Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q. 23

Expert-verified
Precalculus Enhanced with Graphing Utilities
Found in: Page 24
Precalculus Enhanced with Graphing Utilities

Precalculus Enhanced with Graphing Utilities

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

Answers without the blur.

Just sign up for free and you're in.

Illustration

Short Answer

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 origin

Point (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

Step by Step Solution

Part (a).  Step 1.  Given Data

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.

Part (b).  Step 1.  Given Data

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

Part (c).  Step 1.  Given Data

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

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.