Question

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

k = 1
k = 1

k = 0
k = 0

k = 2
k = 2

k = 1/2
k = 1 half

Answer 1

A vertical stretch occurs when the value of \( k \) is greater than 1. This will stretch the graph of the function vertically away from the x-axis.

Here's a breakdown of your options:

- \( k = 1 \): This does not result in a stretch or compression; the graph remains the same.
- \( k = 0 \): This causes the entire graph to collapse to the x-axis.
- \( k = 2 \): This results in a vertical stretch.
- \( k = \frac{1}{2} \): This results in a vertical compression.

Therefore, the value of \( k \) that will result in a vertical stretch is **\( k = 2 \)**.