Question

Describe the translation of the graph of y = x2 that results in the graph of y = (x - 3)2.

Answer 1

Answer:

Option B is correct

right 3 units

Explanation:

Horizontal shift:

To translate the parent function $y = f(x)$ horizontal, then new graph become:

$y = f(x+h)$

When h >0, then the graph is h units left

When h <0, then the graph is h units right

As per the statement:

Given the parent function:

$f(x) = x^2$

then the new graph:

$f(x) = (x-3)^2$

by definition of horizontal shift:

h =  -3 < 0

⇒ the resultant graph is 3 units right

Therefore,the translation of the graph of $f(x) = x^2$  that results in the graph of $f(x) = (x-3)^2$ is, right 3 units

Answer 2

The correct answer for this situation is right 3 units.