Question

Timmy writes the equation f(x) = f(x) equals StartFraction one-fourth EndFraction x minus 1.x – 1. He then doubles both of the terms on the right side to create the equation g(x) = g(x) equals StartFraction one-half EndFraction x minus 2.x – 2. How does the graph of g(x) compare to the graph of f(x)?

The line of g(x) is steeper and has a higher y-intercept.
The line of g(x) is less steep and has a lower y-intercept.
The line of g(x) is steeper and has a lower y-intercept.
The line of g(x) is less steep and has a higher y-intercept.

Answer 1

f(x) = (1/4)x − 1 has slope 1/4 and y-intercept −1.
g(x) = (1/2)x − 2 has slope 1/2 and y-intercept −2.

Slope increased (steeper) and intercept decreased (lower), so: "The line of g(x) is steeper and has a lower y-intercept."