since the vertex is at the origin and the parabola opens to the left, it would have the simple form
x = -ay^2
plug in (-36,2) to get a = 9
so the equation is x = -9y^2
you should have realized your answer was wrong since the given point does not even satisfy your equation.
Secondly it would open to the right.
Find an equation of the parabola with vertex at the origin that passes through the point (-36, 2) and opens to the left.
I believe you start with (x-h)^2 = 4p(y-k) and plug in the given point and (0,0), and solve for p.
I got y^2 = 144x. Is this correct?
Thank you!
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