Question

Fill in the information about the absolute value functions below.

Answer 1

Step-by-step explanation:

We are given the absolute value functions below;

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

Note that for this function, we have a v-shaped graph, since the values of the output is always positive (absolute value) and the vertex is at (0, 0). Also, if the value of a in the function;

`y=a|x|`

is positive, the graph opens upwards, and if the value of a is negative;

`y=-a|x|`

then it opens downwards.

Therefore,

ANSWER;

`\begin{gathered} The\text{ equation with the narrowest graph;} \\ y=3|x| \end{gathered}`
`\begin{gathered} The\text{ equation with the widest graph;} \\ y=-(1)/(2)|x| \end{gathered}`