Question

Consider the function f(x). Select all of the following that include a vertical stretch of f(x)

Answer 1

Answer:

A, D and F.

Step-by-step explanation:

If f(x) is a function and another function is defined as

$g(x)=kf(x)$

If |k|>1, then it is clear vertical stretch.

If 0<|k|<1, then it is clear vertical compression.

In function $-2f(x)$,

$|k|=|-2|=2>1$ vertical stretch.

In function $0.25f(x)$,

$|k|=|0.25|=0.25$ vertical compression.

In function $-f(x)+6$,

$|k|=|-1|=1$ neither stretch nor compression.

In function $5.5f(x)-1$,

$|k|=|5.5|=5.5>1$ vertical stretch.

In function $f(x)+9$,

$|k|=|1|=1$ neither stretch nor compression.

In function $7f(x)$,

$|k|=|7|=7>1$ vertical stretch.

Hence, the correct options are A, D and F.

Answer 2

Answer:

F , D, A

Step-by-step explanation:

As we know vertical stretch of f(x)  happens when we chane the value of the patameter a in this general form:

y = a. f(k(x-d))+ c  

when  |a| > 1 because When |a| > 1 (when a is greater than 1), the function is stretched vertically by a dilation factor of |a|.

So we choose, F , D, A