Question

What is the standard form of this function?

f(x) = (x − 2)2 + 6
A. f(x) = -x2 − 8x + 10
B. f(x) = -x2 − 6x + 10
C. f(x) = x2 − 8x + 10
D. f(x) = x2 − 4x + 10

Answer 1

D

Explanation:

To find the standard function, open the bracket

f(x) = (x-2)^2 + 6

(x-2)^2 becomes

x(x-2) -2(x-2)

= x^2 -2x -2x + 4

= x^2 -4x + 4

Now add 6 and it becomes x^2 -4x + 4 + 6

= x^2 -4x + 10