Question

Which values of k
will result in a vertical stretch for kf(x)
?(1 point)
Responses

k = 0
k = 0

k = 12
k = 1 half

k = 1
k = 1

k = 2

Answer 1

In the function \( kf(x) \), the value of \( k \) determines the vertical stretch or compression of the graph of \( f(x) \).

- A value of \( k > 1 \) will result in a vertical stretch.
- A value of \( 0 < k < 1 \) will result in a vertical compression.
- A value of \( k = 1 \) will keep the graph the same (no stretch or compression).
- A value of \( k = 0 \) will collapse the graph to the horizontal line \( y = 0 \).

From the options given, the only value that results in a vertical stretch is:

**k = 2** (because \( k > 1 \)).

So the answer is **k = 2**.