Question

What is the vertex of the absolute value function defined by ƒ(x) = |x + 5| + 7?

Answer 1

hello :
اthe vertex of the absolute value function defined by ƒ(x) = |x + 5| + 7 is :
(-5,7) because when : x= - 5    ...f(-5) = |- 5 + 5| + 7 = 0+ 7 = 7

Answer 2

The graph of f(x) = |x + 5|  will be shaped like a V with the vertex at (-5,0)

the + 7 moves it up 7 units so your answer is (-5,7)