Question

What is the change that occurs to the parent function f(x) = x2 given the function f(x) = x2 + 7.

Answer 1

ANSWER

shifts up 7 units.

EXPLANATION

The given function is

$f(x) = {x}^{2}$

This is the base of the quadratic function without any transformation.

It is also refer to as the parent function.

The transformed function has equation:

$f(x) = {x}^{2} + 7$

This transformation is of the form

$y = f(x) + k$

This transformation shifts the graph of the base function up by k units.

Since k=7, the base function is shifted up by 7 units.