Question

How to convert a parabola in standard form into vertex form?
One of my problems:
f(x) = -3x+24x-51
Thanks!

Answer 1

http://www.mathwarehouse.com/geometry/parabola/standard-to-vertex-form.php

Answer 2

I have tried that site, but it doesn't give a direct step-by-step on how to solve the problem.

Answer 3

-3x^2?

Answer 4

Yes sorry!

Answer 5

Thank you very much! This helped immensely.

Answer 6

\(\bf -3(x^2-8x+16-16)-51\\ \quad \\\implies (-3\cdot x^2-(-3\cdot 8x)+(-3\cdot 16)-(-3\cdot 16))-51\)

Answer 7

to complete the square, to get a perfect square trinomial, you're really just borrowing from zero, 0, so if you add whatever amount you need for the trinomial, you'd subtract that much