Question

Create a table for the reflection over the x-axis of the function f(x)=(x−1)^2
.(2 points)
Complete the table by determining the values of F(x) for each given value of x.
x | 0 | 1 | 2
−f(x) | [?] | [?] | [?]

Answer 1

Reflection over the x-axis gives F(x) = −f(x). Since f(x) = (x−1)^2:

f(0) = 1 → −f(0) = −1
f(1) = 0 → −f(1) = 0
f(2) = 1 → −f(2) = −1

Table:
x | 0 | 1 | 2
−f(x) | −1 | 0 | −1