What is the function g(x) created from f(x) = x2 by moving the graph left 2 units, adding vertical compression by a factor of 1 4 , and shifting the graph up 3 units? A) g(x) = 2(x + 1 4 )2 + 3 B) g(x) = 1 4 (x − 2)2 + 3 C) g(x) = 1 4 (x + 2)2 + 3 D) g(x) = 3(x + 2)2 + 1 4

C

Step-by-step explanation:

2 units left: f(x+2) = (x+2)^2

Stretch factor 14:

14(x+2)^2

3 units up:

14(x+2)^2 + 3

C

^^^

they are right

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

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