Question

Find the parabola that passes through the set of points:
a (-2,-3)
b (1,0)
c (3,32)

Answer 1

Looks like you need to solve system of equations with 3 variables! Yayy fun :)

Answer 2

Note that the general form of the parabola is \[\large y=ax^2+bx+c\]
First step: you want to plug in your x coordinates into x in the equation and the y coordinates into y in the equation. You should have 3 different equations.

Answer 3

so the equations would be
-3=-4a+b+c
0=a+b+c
32=9a+3b+c

Answer 4

The first equation should be -3=4a-2b+c

Answer 5

ahh my bad

Answer 6

Now, I don't know what the best method is to solve that 3 variable system of equations, but I would try substitution method.

Answer 7

yeah thankyou ! I got this now, i was originally confused cos it wasnt in the table format that i was used to but this cleared it up. THanks !

Answer 8

Hey, no problem! Good luck on solving the rest :)