Question

The point (–2, 4) lies on the graph of the parent function y = f(x). What point

must lie on the graph of y = 2f(x)?



A.(-2, 2)
B.(-2, 6)
C.(-2, 8)
D.There is not enough information given to determine a point on y = 2f(x)?

Answer 1

Option C.(-2, 8)

Explanation:

we have

y=f(x) ----> the parent function

y=2f(x) ---> the new y-value will be 2 times the original value

The rule of the transformation of f(x) to 2f(x) is

(x,y) -----> (x,2y)

substitute the given value

(-2,4) ------> (-2,2(4))

(-2,4) ------> (-2,8)