What is the change that occurs to the parent function f(x) = x^2 given the function f(x) = 2(x + 2)^2 + 1.
the graph is compressed by a factor of 2, moves 2 units to the right, and 1 unit up.
the graph is compressed by a factor of 2, moves 2 units to the left, and 1 unit up.
the graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up.
the graph is stretched by a factor of 2, moves 2 units to the right, and 1 unit up.

The graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up.

Step-by-step explanation:

The base of the quadratic function is

We can transform this function to look narrower or wider.

Looking narrower is termed a stretch.

This happens when a>1

Looking wider is termed a compression.

This happens when 0<a<1

We can also

+h moves the parent graph to the left by h units

-h moves the parent graph to the left by h units.

+ k moves the parent function up by k units

- k moves the parent function down by k units.

The change that occurs to

given

is that, the graph is stretched by a factor of 2, moves 2 units to the left, and 1 unit up

Therefore the last choice is the correct answer.

54

step-by-step explanation:

6x9