Question

Which graph best represents the following equation?
y+7=lx+5l
Explain why.

Answer 1

The bottom is true because
y+7=0
-7 -7
y=-7
And
x+5=0
-5 -5
x=-5

Answer 2

The graph at the bottom.

Explanation:

We have been given equation of an absolute value function
`y+7=|x+5|`. We are asked to choose the graph of the given function.

We know that standard absolute function is in form
`y=|x-h|+k`, where, (h,k) represents vertex of function.

Let us convert our given function in standard form.

`y+7-7=|x+5|-7`

`y=|x+5|-7`

`y=|x-(-5)|-7`

Since the vertex of our given function would be at point
`(-5,-7)`, therefore, the graph at the bottom is the correct choice.