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)?

timmy writes the equation fx 14x1he then doubles both of the terms on the right side to create the equation gx 12x2how does the graph of gx compare to the graph class=

Respuesta :

we have

[tex]f(x)=\frac{1}{4}x-1[/tex]

[tex]g(x)=\frac{1}{2}x-2[/tex]

we know that

the slope of f(x) is [tex]\frac{1}{4}[/tex]

the slope of g(x) is [tex]\frac{1}{2}[/tex]

[tex]\frac{1}{2} > \frac{1}{4}[/tex]

so

g(x) is steeper than f(x)

the y-intercept of f(x) is [tex]-1[/tex]

the y-intercept of g(x) is [tex]-2[/tex]

[tex]-2 < -1[/tex]

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: C on edg

Step-by-step explanation:

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