Question

Before sketching the graph, determine where the function has its minimum or maximum value so you can place your first point there.

Answer 1

We will have the following:

*The zeros in the function are at the values:

$\begin{gathered} -0.5|x-2|=-2\Rightarrow|x-2|=4 \\ x=-2 \\ x=6 \end{gathered}$

So, the zeros are at x = -2 an x = 6.

*The x-intercepts are at the points:

$(-2,0)$

And

$(6,0)$

*The y-intercept is at the point:

$y=-0.5|0-2|+2\Rightarrow y=1$

So, the y-intercept is located at the point:

$(0,1)$