The absolute value function g(x) = |x − 2| − 4 is reflected over the x-axis, and then translated 2 units right and 2 units down to become g′(x). The quadratic function f(x), graphed above, is translated 2 units left and 5 units up to become f′(x). Which of these two transformed functions has a larger maximum and what is the value of this maximum?

A g′(x) has a larger maximum value: 2.

B g′(x) has a larger maximum value: 4.

C f′(x) has a larger maximum value: 1.

D f′(x) has a larger maximum value: 5.

hay24
Apr 22, 2018