Question

What is the vertex of the graph of f(x) = |x + 3| + 7?

(3, 7)
(7, 3)
(–3, 7)
(7, –3)

Answer 1

(-3,7) is the correct answer.

Answer 2

C.
`(-3,7)`

Explanation:

We have been given a function
`y= |x + 3| + 7`. We are asked to find the vertex of the given function.

We know that standard from of an absolute value function is
`y=a|x-h|+k`, where (h,k) is the vertex of function.

Upon looking at our given function, we can see that it is an absolute value function.

We can rewrite our function as
`y= |x-(-3)| + 7`.

Upon comparing our function with standard form of absolute value function, we can see that
`h=-3` and
`k=7`.

Therefore, the vertex of our given function would be
`(-3,7)` and option C is the correct choice.