Question

Hey I’ve been stuck on this problem I need help please.

Answer 1

Given,

the graph of the function is shown in above question.

Required

The equation of the graph.

The parent function of the given graph is,

`y=|x|`

From the graph it is clearly seen that the function is refelcted about x axis.

So, the function becomes

`y=-|x|`

The function is horizontally compressed by 2.

`y=-2|x|`

The vertex of the function is at (3,1).

The function of the given graph is,

`\begin{gathered} y-1=-2|x-3| \\ y=-2|x-3|+1 \end{gathered}`

Hence, the equation of the graph is y = -2|x-3|+1.