Q. 42 - Precalculus Enhanced with Graphing Utilities

Question

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

• x-Axis

Step-by-Step Solution

Answer

Plot the point (0, -2), (-4, 0), and (5, -3) 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 x-Axis.
• When we reflect the point (0, 2) in the x - axis, We get (0, -2).
• When we reflect the point (-4, 0) in the X-Axis, we simply get (-4, 0).
• When we reflect (5, 3) in the X-Axis, we simply get (5, -3).

Step 4. Final Answer

Plot the point (0, -2), (-4, 0), and (5, -3) and draw a smooth curve through them.