SOLUTION: for the function y=x^2-6x+8 put the function in the form y=a(x-h)^2 +k how do i do that and how do i graph it using the equation i got confused

Question 58544: for the function y=x^2-6x+8 put the function in the form y=a(x-h)^2 +k
how do i do that and how do i graph it using the equation i got confused
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
for the function (standard form) put the function in the form (vertex form)
Group the x's
Add (-6/2)^2=(-3)^2=9 to the inside of the parenthesis and take it away from the outside, so you're adding 9-9=0 and not breaking any rules.
Now the parenthesis is a perfect square.

a=1 since it's positive and 1 the parabola opens up and is standard width.
The vertex is (h,k)=(3,-1)
So you have a general idea of where it is and what it looks like, but if you want to be extra careful you can plot the x and y intercepts using the standard form.

(0,8) is the y-intercept.
Factor

x-2=0 and x-4=0
x=2 and x=4 (2,0) and (4,0) are the x-intercepts.
This is what the graph looks like:

Happy Calculating!!!

RELATED QUESTIONS
for the function y=x^2 - 4x -5 how do you put it in the form y+a(x-h)^2 +... (answered by mukhopadhyay)

For the function y = x2 - 6x + 8, perform the following tasks: Put the function in the (answered by stanbon)

For the function y = x2 - 6x + 8, perform the following tasks: Put the function in the... (answered by venugopalramana)

I am stuck on this one, Please help 2) For the function y = x2 - 6x + 8,... (answered by venugopalramana)

1. how do I write the quadratic function in the form y=a(x-h)^2+k for this problem:... (answered by Fombitz,amoresroy)

Can someone help? and check my answer to see if im doing this right? For the function y... (answered by venugopalramana)

I emailed you last night but was having computer problems, so thought I would try again.... (answered by stanbon)

2) For the function y = x2 - 6x + 8, perform the following tasks: a) Put the... (answered by stanbon)

For the function y = x2 - 6x + 8, perform the following tasks: a) Put the function in (answered by funmath,venugopalramana)