Question

If h(x)
is the horizontal reflection of the function f(x)=x3
, which of the following tables can be the datasets for f(x)
and h(x)
?(1 point)

Input-Output Table of x and f of x Values for the Function x cube
x f(x)

0 0
1 1
2 8
Input-Output Table of x and h of x Values for the Function Negative x cube
x h(x)

0 0
−1 1
−2 8

Input-Output Table of x and f of x Values for the Function x cube
x f(x)

0 0
1 1
2 8
Input-Output Table of x and f of x Values for the Function x cube
x f(x)

0 0
−1 −1
−2 -8

Input-Output Table of x and f of x Values for the Function x Square
x f(x)

0 0
1 1
2 4
Input-Output Table of x and h of x Values for the Function x Square
x h(x)

0 0
−1 1
−2 4

Input-Output Table of x and f of x Values for the Function 3 times x
x f(x)

0 0
1 3
2 6
Input-Output Table of x and h of x Values for the Function Negative 3 times x
x h(x)

0 0
−1 3
−2 6

Answer 1

A horizontal reflection gives h(x) = f(−x). For f(x) = x^3, h(x) = (−x)^3 = −x^3. So h(−1) = 1 and h(−2) = 8.

The matching pair is the first one:
- f: 0→0, 1→1, 2→8
- h: 0→0, −1→1, −2→8