# Graphing and Solving Quadratic Equations

• November 26th 2012, 03:43 PM
decocakes
I have a test in algebra 2 tomorrow and i just got back from thanksgiving break abd forgot how to do these.
here is the problem:

x^2= 6x - 8

I need to graph and find the exact roots.

• November 26th 2012, 03:52 PM
MarkFL
Re: Graphing and Solving Quadratic Equations
To find the roots, I would right the equation in standard form:

$x^2-6x+8=0$

Now, to factor, you need two factors of 8 whose sum is -6...

To sketch the graph, I would write the quadratic in vertex form $y=(x-h)^2+k$ by completing the square.

Can you now finish?