Question

What is the vertex of the function h(x) = |x + 6| + 3?

Answer 1

$\text{It absolute value equation nis represented as:}\\\\h(x)=a|x-h|+k\\\\\text{Where as h = x coordinate and k = y coordinate}\\\\\text{Now since we know this, find the vertex from:}\\\\h(x) = |x + 6| + 3\\\\\text{6 is in our h value, so that would be our x coordinate. Remember, it has}\\\text{to be the opposite value, so negative}\\\\(-6,k)\\\\\text{Now find k}\\\\\text{3 is our k value, so that'll be our y-coordinate. This one doesn't have to}\\\text{ahve its value changed}$

$\text{Therefore, your answer is:}\\\\\boxed{\text{B. (-6,3)}}$