Answer:
See below
Step-by-step explanation:
<u>Part A</u>
A vertical stretch takes place when given that
<u>Part B</u>
A vertical compression takes place when given that
<u>Part C</u>
A vertical stretch is different than a horizontal compression:
- In a vertical stretch, the input stays the same, but the output is multiplied by the scale factor
- In a horizontal compression, the output stays the same, but the input is multiplied by the scale factor
<u>Part D</u>
A reflection across the x-axis means that the output, our y-variable, is the opposite sign. This means that all values of must be negative such that
as mentioned in parts A and B. Also, in part C, since our scale factor is negative, the output is the only one being multiplied by the scale factor.