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

Step-by-step explanation:

Given:

`\begin{gathered} y=3|x| \\ y=-(2)/(3)|x| \\ y=-4|x| \\ y=-(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=-(2)/(3)|x| \\ y=-4|x| \\ y=-(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=-(1)/(2)|x|`