Question

The graphs below have the same shape. Complete the equation of the blue

graph. Enter exponents using the caret (^); for example, enter x^2 as x^2. Do
not include "G(x) =" in your answer.​

Answer 1

(x - 4)^2

Explanation:

f(x) = x^2

g(x) has been translated 4 units to the right.

To translate a function horizontally by h units, replace x with x - h.

Here the translation is 4 units to the right. Right is positive, so the translation is +4 units. That means h = 4.

x - h = x - 4

We replace x of function f(x) with x - h to create function g(x).

g(x) = (x - 4)^2