Question

Complete the table to show that h(x)
is the reflection about the origin of the function f(x)
.(2 points)
This table displays the output values of a function f(x) for specific input values of x.
x f(x)

0 0
1 1
2 8

This table shows the output of a function h(x) for the input x = 0, and has empty boxes for additional input and output values to be determined.
x h(x)

0 0

Answer 1

Reflection about the origin sends each point (x, f(x)) to (−x, −f(x)). So from f(0)=0, f(1)=1, f(2)=8 we get h(0)=0, h(−1)=−1, h(−2)=−8.

Completed table:
x: 0, −1, −2
h(x): 0, −1, −8