Question

For each function choose whether it’s graph opens up order downward. Choose the equation with the narrowest graph. Choose the equation with the widest graph.

Answer 1

Answer:

Explanation:

Given:

$\begin{gathered} y=3|x| \\ y=-\frac{2}{3}|x| \\ y=-4|x| \\ y=-\frac{1}{2}|x| \end{gathered}$

To determine which function opens upward or downward, we graph them first:

So, based on the graph, the function that opens upward is:

$\begin{gathered} y=3|x|\text{ } \\ \end{gathered}$

While the functions that opens downward are:

$\begin{gathered} y=-\frac{2}{3}|x| \\ y=-4|x| \\ y=-\frac{1}{2}|x| \end{gathered}$

We can find the narrowest graph by looking at the value. We can also see it on the the graph that the narrowest equation is:

$y=-4|x|$

While the widest equation is:

$y=-\frac{1}{2}|x|$