Algebra 2 help!!! FOR THE LOVE OF GOD!

[AtReYu]

Sum and Product of Roots!!!

Find the quadratic equation that has the given roots:

1: 3/4, 9/2

2: -0.25, o.25

 

HELP ME!!!

[NeonBlack]

If a quadratic has complex roots a and b, it can be written in the form

[math](x-a)(x-b)[/math]

[AtReYu]

What I'm working on is "Exploring Quadratic Functions and Inqualities".... it needs to be in ax^2(+/-)bx(+/-)b=0

[NeonBlack]

you've never heard of FOIL?

[AtReYu]

Of course I have.... That's just not what they want us to do...

I need some help on about five questions... The first two I need to find a quadratic equation that has the give roots:

The first question: 3/4, 9/2

The second question: -0.25, 0.25

 

Then next three I need to write each equation in the form f(x) = a(x-h)^2+k (unless it's not already in that form). I need to name the vertex, axis of symmetry, and direction of opening for the graph of eahc quadratic function. Then I need to graph it.

The third question is: f(x)=a(x-5)^2-7

The fourth question is: f(x)= -9^2+54x-8

The fifth (and final) question is: f(x)=0.25x^2-6x-16

[NeonBlack]

Alright:

Use the roots to get the equation in the form I told you before.

Foiling this will get you to the form [math]ax^2 + bx + c[/math]

Completing the square will get you to the form [math]a(x-h)^2 + k[/math]

 

(h,k) gives you the vertex, and the "direction of opening" is given by the sign of a

[AtReYu]

I know how to do it.... I just keep getting weird answers... What'd you get?

[NeonBlack]

What did you get?

[jdurg]

He's made this post in multiple forums and it looks like he's asking people to do his homework for him. I think you'll be waiting a while, or at least until someone gives him the answers to his homework.