Question

Which graph represents the function f(x) = |x| - 4?

Answer 1

Answer:  The top graph.

Step-by-step explanation:  The inflection is at x = 0, since the absolute value of x starts becoming greater as x decreases.  E.g., at x = -2,

f(x) = |x| - 4

f(x) = |-2| - 4

f(x) = 2 - 4

f(x) = - 2

At x = -4

f(x) = |x| - 4

f(x) = |-4| - 4

f(x) = 4 - 4

f(x) = 0