Homework Help: Math

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 satisfyes 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

Math - I've been staring at this problem for an hour and have NO IDEA WHAT ...
Calculus II - 1) Compute the indefinite integral: integral 2x ln(x^2 - 8x + 18) ...
Calculus - Suppose that ax^2 + bx + c is a quadratic polynomial and that the ...
college algebra - determine the quadratic function f whose vertex is (2,-4) and ...
Maths B - given three points: (0,30) (30,45) (60,30) and need to find a parabola...
math - A company has sales (measured in millions of dollars) of 50, 60, and 75 ...
Math - ç 2x^3 + 3x^2 + x + 1 dx --------------------- -2x + 1 [2x^3...
pre-calc - find real numbers a,b,c so that the graph of the function y=ax^2+bx+c...
math - How do you find an equation of a quadratic function from two points. The ...
quadratic - what is -x^2+4=(3x-1)^2 in the form ax^2+bx+c=0

For Further Reading

First Name:
School Subject:
Answer: