Question

Find an equation of the parabola of the form y=ax^2+bx+c

(1,6),(-1,8),(3,36) ???

Answer 1

System of equations. Three unknowns, three equations.

We are given that the given three points all fall on a parabola of the form y = ax^2 + bx + c. So, we have to figure out which values for a, b, and c will satisfy those given points.

Using the points given, we know that:
6 = a + b + c
8 = a - b + c
36 = 9a - 3b + c

So, solve the system of equations and you have your answer.

Answer 2

a=13/4, b=-1, c=15/4 this is what i got but it was not correct after in entered it in the equation

Answer 3

I made an error. The last equation should be 36 = 9a + 3b + c. Try it again.

Answer 4

Thank you