What is the correct standard form of the equation of the parabola?

Question

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Where the parabola is (-3,2)

Answer 1

To find the correct standard form of the equation of a parabola with vertex (h, k), we need to use the formula:

(x - h)^2 = 4a(y - k)

In this case, the vertex is (-3, 2), so the equation becomes:

(x - (-3))^2 = 4a(y - 2)

Simplifying,

(x + 3)^2 = 4a(y - 2)

And that is the correct standard form of the equation of the parabola with vertex (-3, 2).