Question

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
?

Answer 1

f(kx) = kx + 2 (since f(x) = x + 2). The given points lie on the line y = 3x + 2 (slope 3, y-intercept 2), so k = 3.