SOLUTION: the parabola y=ax^2+bx+c passes through the points (0,4),(2,20) and (10,4). If (3,m) is on the parabola, find m.

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Question 999807: the parabola y=ax^2+bx+c passes through the points (0,4),(2,20) and (10,4). If (3,m) is on the parabola, find m.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




so if (0,4) is an element of the solution set, then



Which is to say

Then if (2, 20) is an element of the solution set, then



Which is to say

Then if (10,4) is an element of the solution set, then:



Which is to say

Solve the 2X2 system of linear equations to find the coefficients and . Then, when you have your fully-qualified polynomial, you can evaluate to find

John

My calculator said it, I believe it, that settles it