Question

select the correct answer.

what is the standard form of this function?

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

• (f(x) = x^2 - 8x + 10)
• (f(x) = x^2 - 4x + 10)
• (f(x) = -x^2 - 6x + 10)
• (f(x) = -x^2 - 8x + 10)

Explanation:

Expand the squared binomial

$$ (x - 2)^2 = x^2 - 4x + 4 $$

Substitute and simplify the function

$$
LATEXBLOCK0
$$

Answer:

• (A) \(f(x) = x^2 - 8x + 10\)
• (B) \(f(x) = x^2 - 4x + 10\) (Correct answer)
• (C) \(f(x) = -x^2 - 6x + 10\)
• (D) \(f(x) = -x^2 - 8x + 10\)