Answer:
The graph of y = 1/2f(x) is the graph y = x and y = -x for -4 ≤ y ≤ 0
Step-by-step 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
[tex]Slope, \ m = \frac{y_2- y_1}{x_2- x_1}} = \frac{0 - (-4)}{0 - (-2)} =\frac{4}{2} =2[/tex]
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;
[tex]Slope, \ m = \frac{y_2- y_1}{x_2- x_1}} = \frac{-4 -0}{2-0} =\frac{-4}{2} =-2[/tex]
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
