SOLUTION: find the equation of a quadric function with x- intercepts (2,0) and (-7,0) and y intercept (0,5) please i need help for this problem please i need help i have exam on Tuesday 0

Question 194493: find the equation of a quadric function with x- intercepts (2,0) and (-7,0) and y intercept (0,5)
please i need help for this problem please i need help i have exam on Tuesday 05/07/09 so it is urgent!!!!!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since the equation has the x- intercepts (2,0) and (-7,0), this means that the roots are or

or Start with the given roots.

or Get everything to the left side.

Combine the equations using the zero product property. Also, insert the variable "a" (this will be used to make the graph have a y-intercept of (0,5))

FOIL

So the general equation with the x- intercepts (2,0) and (-7,0) is:

Start with the given equation.

Distribute

Plug in and (from the point (0,5))

Multiply and simplify

Divide both sides by -14.

Reduce and rearrange the equation.

Go back to the previous equation

Plug in

Multiply and simplify

So the quadratic equation is

Here's a graph to visually confirm the answer:

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