SOLUTION: I need to write a quadratic function in standard form for a parabola shown. It gives me three different point on the parabola which are (2,7), (3,2), and (5,4). What is the andswer

Algebra.Com
Question 366152: I need to write a quadratic function in standard form for a parabola shown. It gives me three different point on the parabola which are (2,7), (3,2), and (5,4). What is the andswer and how am I supposed to get the answer? And the parabola opens up.
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Use the general form of a quadratic equation.


1.
.
.

2.
.
.

3.
.
.
.
Now you have three linear equations in three unknowns (a,b,c).
Solve using any method (substitution, elimination, matrix methods).
.
.
.

.
.
.
It looks like the parabola opens upwards.

RELATED QUESTIONS

Ok. so this one is a graph of a positive, even parabola which means it opens up. the... (answered by scott8148)
Hello I need help on this one problem. How do you write a quadratic function in... (answered by scott8148)
Ok. so this one is a graph of a positive, even parabola which means it opens... (answered by scott8148)
How do you turn a quadratic equation into standard form (y = ax^2 + bx + c) with 3 points (answered by Mathtut)
Please help me. I need to find write the quadratic function for a given set of points... (answered by robertb)
I need to write this equation in standard form. y^2=-3x I know it's a parabola, but do... (answered by stanbon)
write a quadratic function in vertex form. write the equation for the axis of symmetry of (answered by solver91311)
Write a quadratic function in vertex form. Write the equation for the axis of symmetry of (answered by Fombitz)
A rectangle is placed under the parabolic arch given by f(x)=27-3x^2 by using a point... (answered by rapaljer)