Question

What is the graph of the absolute value function y = |x| + 3? How is this graph different from

the graph of the parent function f(x) = |x|?

Answer 1

Explanation:

I cannot draw here.

but the graph of f(x) = |x| is a big "V".

on the negative x side it is a line diagonally from the top left to the origin (0, 0), and on the positive x side it is a line diagonally from the origin (0, 0) to the top right.

now, f(x) = |x| + 3 is then the whole (otherwise unchanged) graph of |x| shifted up by 3 units. and the "V" vertex is then at (0, 3) instead of at (0, 0).