vertex at (0,0) means
y = ax^2
So, plug in (-1,2) and you have
2 = a(-1)^2
a = 2
so,
y = 2x^2
Find the equation of a parabola where the vertix is at origin and the parabola opens to the left and passes through (-1,2).
2 answers
My bad. opens to the left:
x = ay^2
-1 = a*2^2
a = -1/4
x = -1/4 y^2
or
y^2 = -4x
http://www.wolframalpha.com/input/?i=y^2+%3D+-4x
x = ay^2
-1 = a*2^2
a = -1/4
x = -1/4 y^2
or
y^2 = -4x
http://www.wolframalpha.com/input/?i=y^2+%3D+-4x