PLEASE HELP WITH THIS

Step-by-step explanation:

a. For any function, in order for a vertical stretch to happen, a must be greater than 1 so the answer to a is

a>1.

b. For b, the graph will compress when a is between 0 and 1 but not equal to both.

So the answer to. b is

0<a<1.

c.A vertical stretch happens when a>1, a horinzontal compression also happens when a>1, if you confused let me explain

Consider the graph above. Let say we have a quadratic function

Let that be the parent function, if we stretch the function, a must be greater than 1 as we established in a.

In the fist picture, let say a=2.7

The function is stretched in the vertical direction

Now, let say if we affect x.

Here, let a=2.7 we know have

The function is being compressed when a>1, so that means that

we stretched vertically or compressed horizontally when a>1. It depends on the location of a. If a is outside the parenthesis, we will stretch by a factor of a. If a is I side the parenthesis, we will compress by a factor of a.

d. A must be negative or a<0