Question

Instructions: For the given function, state the type of shift you would expect to see in its graph and the direction and number

Answer 1

Given:

The given function is

$y=(x-7)^2$

And the parent function is

$y=x^2.$

Required:

We have to find the type of shift that the graph of the given function will show from the parent function.

Explanation:

The vertex of the given function is (7,0) and the vertex of the parent function is (0,0). Hence the given function will shift in the right direction horizontally by 7 units.

Final answer:

Hence the final answer is:

The graph of this function will show a horizontal shift right

$7\text{ units}$

from the parent function

$y=x^2.$