Posted by **ben** on Tuesday, September 18, 2012 at 10:15pm.

The following three points are produced by some quadratic function of the form :

f(x) = Ax^2 + Bx + C

where A; B and C are real numbers and A = 0; they are (1/2,0);(0,10); and (4,0). Find a quadratic

function that satisfy es these three points.

- Math -
**Count Iblis**, Tuesday, September 18, 2012 at 10:42pm
Form the igven points, you see that at x = 1/2 and at x = 4 the function is zero. This means that the function is proportional to:

(x - 1/2) (x - 4)

So, we can put:

f(x) = D (x - 1/2) (x - 4)

To find D, you use that at f(0) = 10:

f(0) = 2 D = 10 ----->

D = 5

Therefore:

f(x) = 5 (x - 1/2) (x - 4) =

5 x^2 - 45/2 x + 10

## Answer this Question

## Related Questions

- College Math - For questions 1-2, apply the quadratic formula to find the roots...
- Math - The sum of the squares of three consecutive whole numbers is 77. Form a ...
- Math - The twice–differentiable function f is defined for all real numbers and ...
- pre-calc - find real numbers a,b,c so that the graph of the function y=ax^2+bx+c...
- Algebra 2 - What's the formula given three points to come up with the quadratic ...
- Algebra 1-- Please, check my answers! - 1. What is ((-12x^6 + x)) / ((-4x^2))? ...
- algebra - Hi Dear Jiskha team, I have Algebra homework and I will need some help...
- math - A company has sales (measured in millions of dollars) of 50, 60, and 75 ...
- Math - (1 & 2) The first three points do not fall on a straight line, and there ...
- Math - Some rational numbers are integers. True or false The radius of a circle...

More Related Questions