Question

2. Answer parts a-d based on the equation y = -1x – 4 + 2 a. Make a sketch to represent the function. x A b. What is the vertex of the equation? C. Over what interval is the equation increasing?

Answer 1

$\begin{gathered} \text{The equation is} \\ y=-|x-4|+2 \end{gathered}$

First we'll graph the function

Now, the vertex of the equation is (4,2).

$\begin{gathered} \text{the equation is increasing over (-}\infty,4\rbrack \\ \text{the equation is decreasing over }\lbrack4,\infty) \\ \text{The domain is all the number line! and the range is (-}\infty,2\rbrack \end{gathered}$