Question

Help! Need steps to help me through converting a quadratic equation into a equation in graphing form!

Answer 1

\[y=2x^2-7x+12\]

Answer 2

That equation can be graphed without any converting.
Do you need help with graphing an equation?

Answer 3

No... Turning it into graphing form. it's a different equation.

Answer 4

With H and K, so I can state the vertex.

Answer 5

Well that's a new one for me.
If you want to state the vertex you can figure it out.

Answer 6

No, It's an actual equation that has the vertex in it.

Answer 7

I just don't know how to go from this equation to that.

Answer 8

Exactly what is this conversion process called? What do they call it when you are being taught this?

Answer 9

Graphing form. She says to convert this quadratic equation into a graphing equation. It has to do with H and K as the vertex points.

Answer 10

That's new to me. Perhaps someone else can help you with this.

Answer 11

I doubt it. Been waiting for a long time. It changes that original equation so it looks like this : y=a(x+h)^2 + k

Answer 12

I'll do some internet surfing for this.

Answer 13

It took me awhile to even remember that form. But it has something to do with completing the square.

Answer 14

Yes, I found some sites that discuss this and I do know how to complete the square but I don't think this "vertex graphing" is something I can learn in just a couple of minutes.

Answer 15

It's all good. It took me a whole year to just barely understand it.

Answer 16

Well I'll complete the square
2x² −7x +12 = 0
2x² −7x = -12
x² -3.5x = -6

Taking the coefficient of x which is -3.5 dividing it by 2 then squaring it yields
3.0625
We add this to both sides of the equation
x² -3.5x +3.0625 = -6 + 3.0625
Then take the square root of the equation
(x + 1.75) (x + 1.75) = Square Root of -2.9375

The equation does not have rational roots and so it will not cross the x axis