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!!!

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

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

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

you've never heard of FOIL?

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

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

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

What did you get?

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.