Find a quadratic function to model the values in the table. Predict the value of y for x = 6.
x | y
1 2
0 2
3 -10

Question

Find a quadratic function to model the values in the table. Predict the value of y for x = 6.
x | y
1   2
0   2
3 -10

anonymous · Answer

First you need to find the equation, so use slope formula to find it.

anonymous · Answer

How would i use it on this problem? i thought it was supposed to be used with two given points? So I'm a bit confused.. @xjakester

anonymous · Answer

y = ax^2 + bx + c,

you're give 3 points. Plug them in and you have a system of three equations with three unknown variables a,b, and c. Solve it.

anonymous · Answer

*you're given...*

anonymous · Answer

I know how to work it from there. but I get lost, so do you mind guiding me through it?

anonymous · Answer

To my understanding i know that c=2 since its the y intercept. and i know I'm supposed to find the change in the y-values and then find the change in the change of the y-values from there on?

anonymous · Answer

plug the other two points in and and see what you'll have

anonymous · Answer

from the y values? @niko

anonymous · Answer

x = 1, y = 2, and c = 2, plug those in y = ax^2 + bx + c

anonymous · Answer

do the same with the last point