Monday

July 28, 2014

July 28, 2014

Posted by **MOHAMMED** on Tuesday, September 28, 2010 at 5:51pm.

the equation of the parabola is y=ax^2 + bx + c

a) write down a system of equations representing this parabola.

b) solve the corresponding system and hence write down the equation of the parabola

- MATHS -
**Henry**, Tuesday, September 28, 2010 at 7:17pmWhen x = 2, y = 0. Therefore, x = 2 is a solution. I'm going to derive the Eq

with the assumption that 2 is the only

solution. If my assumption is correct,

all given points will satisfy the derived Eq.

x = 2,

x - 2 =0,

(x - 2)^2 = x^2 - 4x + 4 = 0.

CHECK:

F(2) = 2^2 - 4*2 + 4 = 0, (2 , 0).

F(1) = 1^2 - 4*1 + 4 = 1, (1 , 1).

F(3) = 3^2 - 4*3 + 4 = 1, (3 , 1).

**Related Questions**

College Algebra - Find the equation of the parabola y = ax2 + bx + c that passes...

algebra - Suppose a parabola has a vertex (-4,7) and also passes through the ...

Maths Parabola - if a parabola is defined by f(x)=ax+bx+c,where a straight line ...

MATH - a parabola passes via the points (1.5,1) and (3,-5). given that the ...

Maths - It is given a quadratic function y=a(x-h)62+k.If its graph is a parabola...

Alg II/Trig - A parabola has a vertex at (0,0); a horizontal axis; and the point...

Algebra 2 - Point (-6,-2) lies on a parabola that has its vertex at (0,1). Write...

College Algebra - Find the standard form of the equation of the parabola with ...

College Algebra - Find the standard form of the equation of the parabola with ...

math - write an equation for the parabola with focus (1,3) and vetex (0,3) See ...