SOLUTION: Find the standard form of the equation for the parabola having a vertex (-3,6) that contains the origin

Question 131997: Find the standard form of the equation for the parabola having a vertex (-3,6) that contains the origin
Found 2 solutions by rapaljer, stanbon:
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
The first step is to find the slope between (-3,6) and (0,0)!

The equation is y=-2x+0

This can be written in standard form by adding +2x to each side:
2x+y=0

R^2
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the standard form of the equation for the parabola having a vertex (-3,6) that contains the origin.
------------
Form: y = ax^2+bx+c
Using (0,0) you find 0 = a*0+b*0+c
So c = 0
----------
Foem y = ax^2+bx
Using (-3,6) you find 6 = a(-3)^2+b(-3)
6 = 9a -3b
2 = 3a-b
b = 3a-2
Let a=1, then b = 3*1-2 = 1
------------------------------
So a=1,b=1,c=0
EQUATION:
y = x^2+x
==================
Cheers,
Stan H.

RELATED QUESTIONS
Find an equation of the parabola in standard form having the given properties. Draw a... (answered by josgarithmetic)
Find an equation of the parabola in standard form having the given properties. Draw a... (answered by josgarithmetic)
Find the equation in standard form of the parabola with vertex at the origin and focus... (answered by josgarithmetic)
Find the standard form of the equation of the parabola with the given characteristic and... (answered by stanbon)
Find the standard form of the equation of the parabola with the given characteristic(s)... (answered by MathLover1,ewatrrr)
Find an equation of the parabola with vertex at the origin and latus rectum having... (answered by Edwin McCravy)
Find the standard form of the equation of the parabola with a vertex at the origin and a... (answered by lwsshak3)
Find the standard form of the equation of the parabola with a vertex at the origin and a... (answered by robertb)
Whats the standard form of a parabola with vertex at origin and directrix of... (answered by lwsshak3)