Question

Create a table for the reflection over the x-axis of the function f(x)=(x−1)2

x to -f(x)
0 to _
1 to _
2 to _

Answer 1

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

- x = 0: f(0) = 1 → -f(0) = -1
- x = 1: f(1) = 0 → -f(1) = 0
- x = 2: f(2) = 1 → -f(2) = -1

So the table:
0 → -1, 1 → 0, 2 → -1.