Question

Write f(x) = x^2 – 6x – 10 in vertex form.

f(x) = (x + 6)^2 + 26

none of the above

f(x) = (x – 6)^2 + 26

f(x) = (x + 3)^2 – 19

f(x) = (x – 3)^2 – 19

Answer 1

Complete the square:

f(x) = x^2 − 6x − 10
= (x^2 − 6x + 9) − 9 − 10
= (x − 3)^2 − 19.

So the correct choice is f(x) = (x − 3)^2 − 19.