Question

se the image to answer the question.

Five points and one line are graphed on a coordinate plane. The x-axis ranges from negative 4 to 4 in increments of 1. The y-axis ranges from negative 10 to 10 in increments of 1.
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The first point has coordinates left parenthesis negative 2 comma negative 4 right parenthesis. The second point has coordinates left parenthesis negative 1 comma negative 1 right parenthesis. The third point has coordinates left parenthesis 0 comma 2 right parenthesis. The fourth point has coordinates left parenthesis 1 comma 5 right parenthesis. The fifth point has coordinates left parenthesis 2 comma 8 right parenthesis. The line passes through all five points.

What value of k would create the function y=f(kx)
on the graph if it is a transformed version of the function f(x)=x+2
?

(1 point)
k=

Answer 1

k = 3

Reason: f(kx) = kx + 2, and the graphed line has slope 3 (e.g., from (0,2) to (1,5)), so k = 3.