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Sagot :
Answer:
See below
Step-by-step explanation:
Part A
A vertical stretch takes place when [tex]a\cdot f(x)[/tex] given that [tex]|a| > 1[/tex]
Part B
A vertical compression takes place when [tex]a\cdot f(x)[/tex] given that [tex]0 < |a| < 1[/tex]
Part C
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
Part D
A reflection across the x-axis means that the output, our y-variable, is the opposite sign. This means that all values of [tex]a[/tex] must be negative such that [tex]a\cdot f(x)[/tex] 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.
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