Question

I need help ASAP please!
The graph of y=f(x) is shown below.

Graph y=1/2f(x)

Answer 1

The graph of y = 1/2f(x) is the graph y = x and y = -x for -4 ≤ y ≤ 0

Explanation:

Here we note that when y = 0, x = 0

when y = -4, x = -2

The equation is therefore of the form y = m·x + c

m = slope

`Slope, \ m = (y_2- y_1)/(x_2- x_1)} = (0 - (-4))/(0 - (-2)) =(4)/(2) =2`

c = y intercept = 0

Hence the first line is y = 2·x

The second line on the right is the mirror of the first on the left with slope;

`Slope, \ m = (y_2- y_1)/(x_2- x_1)} = (-4 -0)/(2-0) =(-4)/(2) =-2`

Hence the second line on the right is y = -2·x

Hence for y = 1/2 f(x) we have;

y = 1/2 × 2·x = x and y = 1/2 ×-2·x = -x

Graphing the functions, we have