Question

What is the vertex form of the equation?
y = x^2 – 8x + 12

Answer 1

Try to use the form y= (x - h)^2 + k where (h, k) is the vertex.

Answer 2

The goal here is to use Completing the square.

Answer 3

For example, if we have y = x^2 - 4x + 1.
We will take half of the coefficient of x (of half of -4), and then square it.

Answer 4

So, half of -4 is -2 and squaring it is 4..
We need to add and subtract that... y = x^2 - 4x + 4 + 1 - 4.
Then, y = (x^2 - 4x + 4) + 1 - 4.

Answer 5

If we will factor x^2 - 4x + 4 it would be (x - 2)(x - 2) or (x - 2)^2.
So, it would be y = (x - 2)^2 - 3.

Pleasure to help you!

Answer 6

yep ignore me.

Answer 7

thank you, loviy! this explanation's very helpful.

Answer 8

You're welcome! God bless you! :)