Question

Which function is increasing and decreasing over the same intervals as the function in the graph?

A V shape graphed on a coordinate plane with its vertex at the point 2 comma zero. The V passes through the points 1 comma 1 and 3 comma 1.
A. y = −|x − 2|
B. y = |x + 2|
C. y = |x| − 2
D. y = 4|x − 2|

Answer 1

D

Reason: The graph is a V with vertex at x = 2 and opens upward, so it's decreasing on (-∞, 2) and increasing on (2, ∞). y = 4|x − 2| has the same vertex and opens upward (a > 0), so it has the same increasing/decreasing intervals.