Q. 44 - Precalculus Enhanced with Graphing Utilities

Question

Draw a complete graph so that it has the type of symmetry indicated.

• y-Axis

Step-by-Step Solution

Answer

Plot the point (0, 0), (-2, 2), and (0, 4) and draw a smooth curve through them.

Step 1. Given Data

Graph - 

Step 2. To Find

Draw a complete graph so that it has the type of symmetry indicated.

Step 3. Explanation

• Note that (-a, b) is reflection of (a, b) in y-Axis
• When we reflect the point (0, 4) in the y- axis, We get (0, 4)
• When we reflect the point (2, 2) in the y-Axis, we simply get (-2, 2)
• When we reflect the point (0, 0) in the y-Axis, we simply get (0, 0).

Step 4. Final Answer

Plot the point (0, 0), (-2, 2), and (0, 4) and draw a smooth curve through them.