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

Answer:

C. $(-3,7)$

Step-by-step 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.