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
Remaining Attempts : 3
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Answer 1

Reflection about the origin sends (x, f(x)) to (-x, -f(x)), so h(x) = -f(-x).

Using f(1)=1 and f(2)=8:
- h(-1) = -f(1) = -1
- h(-2) = -f(2) = -8

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