The graph of Fx), shown below, resembles the graph of G(x) = x, but it has been changed somewhat. Which of the following could be the equation of
Fx)?
FOOD
O A. F(x) = -2(x+ 2)+ 2
O B. Fx) = -2(x - 2)2 + 2
O C. F(X) = 2(x + 2)2 + 2
O D. F(x) = 2(x - 2)2 + 2

9514 1404 393

  D.   2(x -2)² +2

Step-by-step explanation:

The transformation g(x) = c·f(x-h) +k translates the graph of the function f(x) right h units and up k units. The multiplier 'c' will reflect the graph over the x-axis if its value is negative.

Here, the function has not been reflected over the x-axis, but has been shifted right 2 and up 2. The equation of the graph is ...

  F(x) = 2(x -2)² +2

-2/