Question

Please help! Medal will be given.

A parabola contains the points (1,8), (4, 29), and (-3, 8). What is the equation of this parabola in standard form?

Answer 1

how to guide is here: http://jwilson.coe.uga.edu/emt668/emat6680.f99/jones/instructional%20unit/writingquads.html

video version is here:(probablyfaster if you already understand the maths)
https://www.youtube.com/watch?v=7KC8KqljahE
lemme know if you have any trouble with these man, or post the answer you get and we'll compare if you like?

Answer 2

@Jack1 - Thank you so much! But I got the systems of equations and I keep getting the wrong answer. I don't think I'm doing it right. Sorry.

Answer 3

what's the answer you keep getting if you dont mind me asking?

Answer 4

I got y = 0x^2 + 7x + 1....

Answer 5

ok, i got y = x^2 + 2x + 5
if you post your step by step i could have a look for you?

Answer 6

8 = a + b + c
29 = 16a + 4b + c
8 = 9a - 4b + c
-----------------------
8 = a + b + c
-c + 8 = a + b
-c = -8 + a + b
c = 8 - a - b
------------------------
29 = 16a + 4b + 8 - a - b
29 = 15a +3b + 8
21 = 15a + 3b
------------------------
8 = 9a - 4b + 8 - a - b
8 = 8a - 3b + 8
0 = 8a - 3b
-------------------------
21 = 15a + 3b
-3b = -21 + 15a
b = 7 + 15a
(I made an error. It should be b = 7 - 5a)
-------------------------
a = 0
b = 7
c = 1

Answer 7

@Jack1

Answer 8

At the top, your third equation 8=9a-4b+c is incorrect. It should be 8=9a-3b+c