Q. 41 - 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, -9), (-2, -5), and (-3, 0) 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 (2,-5) in the y- axis, We get (-2, -5)
• When we reflect the point (0,-9) in the y-Axis, we simply get (0, -9)
• Note that (3, 0) is also a point on this graph, When it is reflect in y-Axis, we get (-3, 0).

Step 4. Final Answer

Plot the point (0, -9), (-2, -5), and (-3, 0) and draw a smooth curve through them.