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

Answer:

Step-by-step explanation:

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

Answer 2

C.g(x) is steeper and has a lower y-intercept.

Step-by-step explanation:

$f(x)=\frac{1}{4}x-1$

$g(x)=\frac{1}{2}x-2$

Compare with slope-intercept form $y=mx+C$

Where m=Slope of line

C=y-intercept

We get

Slope of f(x)=$\frac{1}{4}$

Slope of g(x)=$\frac{1}{2}$

y-intercept of f(x)=-1

y-intercept of g(x)=-2

$\frac{1}{2}>\frac{1}{4}$

Slope of g(x) is greater than slope of f(x)

Therefore, g(x) is steeper than f(x)

-2<-1

y-intercept of g(x) is less than the y-intercept of f(x)

Therefore, g(x) is steeper and has a lower y-intercept.

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