Question

Consider the relation y = 4|x − 5| + 3. Which of the following best describes the minimum or maximum of this relation?

A)Minimum at (5,3)
B)Maximum at (5,3)
C)Minimum at (-5-3)
D)Maximum at (-5,3)

Answer 1

A) Minimum at (5,3) because the 4 (a) and the b (in front of the x is 1) are positive, the relation will be positive. When looking at the h (-5) you must always consider it as if it was the opposite sign. So here it's negative so in reality it's positive.