Answer:
x = -1/4(y +3)2 - 2.
Step-by-step explanation:
Here are the steps:
Find if parabola is horizontal or vertical
Find vertex and substitute into equation of step 1
Use another point to find a in the equation.
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Parabola is obviously vertical.
that means we use x = a(y - k)2 + h
Our vertex is (-2,-3), and it's also (h, k)
so, our current equation is x = a(y - -3)2 - 2 and if we simplify it,
we get x = a(y +3)2 - 2.
It's not over yet, cuz we still need a.
so, we substitute in a point (x, y). We can use (-4, 1).
We plug in and get -4 = a(1 +3)2 - 2.
We solve like a one variable linear equation and get a = -1/4
Thus our equation is x = -1/4(y +3)2 - 2.
