Question

If the graph of f(x) = |x| is shifted up 5 units, what would be the equation of the new graph?

A. g(x) = |x + 5|
B. g(x) = |x| + 5
C. g(x) = |x| - 5
D. g(x) = |x - 5|

Answer 1

B. g(x)= |x| + 5

Explanation:

-5 represents a vertical shift down, so that narrows it down to either A or B. A shows a shift across the horizontal (X) axis, so it must be B.