Question

What is the vertex of the absolute value function defined by f (x) = |x - 7| + 1?

A. (7,1)

B. (-7, -1)

C. (-7, 1)

D. (7, -1)

Answer 1

The vertex of function y = |x| is (0; 0).
We have: f(x) = |x - 7| + 1
shift the graph of the function y = |x| 7 units right and 1 unit up. Then the vertex of function f is (7; 1).
Your answer is A. (7; 1)
Look at the picture.