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.
