Question

timmy writes the equation f(x)= 1/4x-1.he then doubles both of the terms on the right side to create the equation g(x)= 1/2x-2.how does the graph of g(x) compare to the graph of f(x)?

Answer 1

we have

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

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

we know that

the slope of f(x) is $\frac{1}{4}$

the slope of g(x) is $\frac{1}{2}$

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

so

g(x) is steeper than f(x)

the y-intercept of f(x) is $-1$

the y-intercept of g(x) is $-2$

$-2 < -1$

so

g(x) has a lower y-intercept

therefore

the answer is

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

Answer 2

The graph is steeper  ( as the slope 1/2 > 1/4)  and  has a lower y-intercept  ( as -2 is less  than -1)