Question

Which function is equivalent to f(x)=1/4(x-2)^2+3?

f(x)=1/2x+2
f(x)=1/4x^2-4x+7
f(x)=1/4x^2+4
f(x)=1/4x^2-x+4​

Answer 1

Answer: f(6) = (6)2 + 1 = 36 + 1 = 37

If we wanted to find and expression for f(g(x)) we could plug in g(x), which is "x - 4" into the function f(x) wherever we see an "x". So:

f(x) = x2 + 1

f(g(x)) = (x - 4)2 + 1 because g(x) is "x - 4"

Explanation: