Question

Choose the equation of the graph shown below:

y = |x - 1| - 3
y = |x + 1| - 3
y = |x - 1| + 3

Answer 1

The correct answer is y= |x + 1| - 3

Answer 2

B.
`y=|x+1|-3`.

Explanation:

We have been image of an absolute value function on coordinate plane. We are asked to find the equation of our given function.

We know that standard form of an absolute value function is in format
`y=a|x-h|+k` with vertex at
`(h,k)`.

Upon looking at our given graph, we can see that vertex of the given function is at point
`(-1,-3)`.

Upon substituting coordinates of the vertex in standard form of absolute value function, we will get:

`y=1|x--1|+-3`

`y=|x+1|-3`

Therefore, our required equation would be
`y=|x+1|-3` and option B is the correct choice.