The graph of y=f(x) is shown below. Graph y=1/2f(x)

Question

The grap is a partial line , showing to be negative. The y-int is -3 and the slope is -1/2

Answer 1

 

So then the linear function is y = f(x) = (-1/2)X - 3

 

 y = g(x) = 1/2 * f(x) = (-1/4)x - 3/2

 

y-intercept is (-1/4)(0) - 3/2 = 0 - 3/2 = -3/2 ---> (0,-3/2)

 

x-intercept is (-1/4)x - 3/2 = 0 ----> (-1/4)x = 3/2 ---->  x = (3/2)(-4) = -12/2 = -6

x-intercept is (-6,0)

 

(0, -3/2) on the line  (-6,0) on the line 

You can also graph (-4, -1/2) and (-2, -1)