SOLUTION: Find the quadratic function that fits the set of data points. (-3,-5), (-2,-8), (6,-248)

Question 721340: Find the quadratic function that fits the set of data points.
(-3,-5), (-2,-8), (6,-248)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the quadratic function that fits the set of data points.
ax^2 + bc + c = y
---
Solve for a,b,c:
---
(-3,-5) gives: 9a -3b + c = -5
(-2,-8) gives: 4a -2b + c = -8
(6,-248)gives:36a+ 6b + c = -248
-------------------
I used a matrix function on my TI-84 to get:
a = -3
b = -18
c = -32
-----
Equation:
y = -3x^2 -18x - 32
=======================
Cheers,
Stan H.
=================
RELATED QUESTIONS
Find the quadratic function that fits the set of data points. (-3,-5),... (answered by MathLover1)

find a quadratic function that fits the set of data points (2,0) (4,3)... (answered by ewatrrr)

Find a quadratic function that fits the set of data points:... (answered by ankor@dixie-net.com)

Find the quadratic function that fits the data points (1,6) (-1,2) and... (answered by ankor@dixie-net.com,MathTherapy,Alan3354)

Find a quadratic function that fits the set of data points.(0,−3),... (answered by josgarithmetic)

Find the quadratic Equation that fits the following set of Data points.... (answered by ankor@dixie-net.com)

Write a quadratic function that fits each set of points. (0,1) (2,-1)... (answered by solver91311)

find a quadratic function that fits each set of data points (-1, 4) ( 0,4) (4,84) (answered by stanbon)

Find the quadratic function that fits the data points (0,0), (6,0) and... (answered by josmiceli)