Question

I need help ASAP please! The graph of y=f(x) is shown below.Graph y=1/2f(x)

Answer 1

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

$Slope, \ m = \frac{y_2- y_1}{x_2- x_1}} = \frac{0 - (-4)}{0 - (-2)} =\frac{4}{2} =2$

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;

$Slope, \ m = \frac{y_2- y_1}{x_2- x_1}} = \frac{-4 -0}{2-0} =\frac{-4}{2} =-2$

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