Thread: quadratic functions

ok this is my lasst question of the night i promise!

Find the unique quadratic function that passes through the points (-2, 5), (1,-1), and (6, 29). use matrices to solve

Originally Posted by mamajen

ok this is my lasst question of the night i promise!

Find the unique quadratic function that passes through the points (-2, 5), (1,-1), and (6, 29). use matrices to solve

You need to create a sytem of equations given these 3 points.

Use

Here's the first one

You do the next 2, I will then show you the next step.

Originally Posted by pickslides

You need to create a sytem of equations given these 3 points.

Use

Here's the first one

You do the next 2, I will then show you the next step.

ok here is what i have.....
(1, -1) -1=a+b+c
(6, 29) 29=36a+6b+c

Originally Posted by mamajen

ok here is what i have.....
(1, -1) -1=a+b+c
(6, 29) 29=36a+6b+c

so we have,






Which can be written in matrix form as



Now you need to find the inverse of a matrix, will be tricky

Originally Posted by pickslides

so we have,






Which can be written in matrix form as



Now you need to find the inverse of a matrix, will be tricky

1, -1, 1

thanks so much for your help!