The absolute value function g(x) = |x + 2| + 5 is reflected over the x-axis, and then translated 2 units left and 2 units up to become g′(x). The quadratic function f(x), graphed below, is translated 6 units right and 1 unit down 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: −4.
B.) g′(x) has a larger maximum value: −3.
C.) f′(x) has a larger maximum value: −5.
D.) f′(x) has a larger maximum value: 4.
/Users/christophersimmons/Desktop/q146332-plane_geometry_graph_21.jpg

Question

The absolute value function g(x) = |x + 2| + 5 is reflected over the x-axis, and then translated 2 units left and 2 units up to become g′(x). The quadratic function f(x), graphed below, is translated 6 units right and 1 unit down 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: −4.
B.) g′(x) has a larger maximum value: −3.
C.) f′(x) has a larger maximum value: −5.
D.) f′(x) has a larger maximum value: 4.
/Users/christophersimmons/Desktop/q146332-plane_geometry_graph_21.jpg

Kamauri · Answer

do u know the first step?

SupremeTylor12 · Answer

no I don't could you explain it?