Question

Which function represents a translation of the graph of y = x^2 by 8 units to the right?

Answer 1

Answer:

Option C. $y = (x-8) ^ 2$

Step-by-step explanation:

If we have a parent function f(x) and we want to make a transformation that translates the graph of f(x) horizontally then we do

$y = f (x + h)$

Where h is a constant such that:

If $h> 0$ then the graph of f(x) moves h units to the left

If $h$ then the graph of f(x) moves h units to the right.

In this case we have the function $y = x ^ 2$ and we know that 8 units are moved to the right. If you move 8 units to the right This means that

$h$ and $h = -8$

So if $f(x) = x ^ 2$ the transformed function will be:

$y = f(x -8)$

$y = (x-8) ^ 2$