SOLUTION: Quadratic function in standard form whose graph passes though the given points. (1,-2) (-2,1) (3,6) I know it plugs into the equation ax^2+bx+c but i have no idea how to plu

Question 845330: Quadratic function in standard form whose graph passes though the given points.
(1,-2) (-2,1) (3,6)
I know it plugs into the equation ax^2+bx+c
but i have no idea how to plug them in.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Quadratic function in standard form whose graph passes though the given points.
(1,-2) (-2,1) (3,6)
I know it plugs into the equation ax^2+bx+c = y
------
Equations:
Using (1,-2):: a + b + c = -2
Using (-2,1)::4a -2b + c = 1
Using (3,6):::9a +3b + c = 6
--------------------------------------
Solve the system of equations:
I used my calculator to get:
a = 1
b = 01
c = -3
-------
Equation:
y = x^2 -3
-----------------------
Cheers,
Stan H.

RELATED QUESTIONS
how to solve: Write a quadratic function in standard form whose graph passes through the... (answered by richard1234)

For the following problem, find the quadratic function y=f(x) that has the given... (answered by math_tutor2020)

For the following problem, find the quadratic function y=f(x) that has the given... (answered by MathLover1)

ive tried this plenty of times i get stuck because i know how to solve the problom when... (answered by stanbon)

find the quadratic function y = ax ^ 2 + bx + c whose graph passes through the given... (answered by MathLover1)

i don't even know where to start with this one. how do you write a quadratic function in... (answered by stanbon)

What is the quadratic function y=ax2+bx+c whose graph passes through the given... (answered by josgarithmetic)

Graph the quadratic function given in standard form. f(x)=... (answered by Fombitz,ewatrrr)

Find the quadratic function y=f(x) whose graph has a vertex (-2,3) and passes through the (answered by Solver92311)