The vertex form of a parabola is given by the equation y = a(x-h)² + k, where (h, k) is the vertex of the parabola.

The vertex of a parabola is the midpoint between the focus and the directrix. Given the focus (0, -7) and the directrix y = 3, we can find the vertex as follows:

The y-coordinate of the vertex is the average of the y-coordinate of the focus and the directrix, which is (-7 + 3) / 2 = -2. The x-coordinate of the vertex is the same as the x-coordinate of the focus, which is 0. So the vertex is (0, -2).

The value of a in the vertex form of a parabola is 1/(4p), where p is the distance from the vertex to the focus (or equivalently, from the vertex to the directrix). In this case, p = -2 - (-7) = 5. So a = 1/(4*5) = 1/20.

Substituting h = 0, k = -2, and a = 1/20 into the vertex form gives the equation of the parabola as y = 1/20 * x² - 2.

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The vertex form of a parabola is given by the equation y = a(x-h)² + k, where (h, k) is the vertex of the parabola.

The vertex of a parabola is the midpoint between the focus and the directrix. Given the focus (0, -7) and the directrix y = 3, we can find the vertex as follows:

The y-coordinate of the vertex is the average of the y-coordinate of the focus and the directrix, which is (-7 + 3) / 2 = -2. The x-coordinate of the vertex is the same as the x-coordinate of the focus, which is 0. So the vertex is (0, -2).

The value of a in the vertex form of a parabola is 1/(4p), where p is the distance from the vertex to the focus (or equivalently, from the vertex to the directrix). In this case, p = -2 - (-7) = 5. So a = 1/(4*5) = 1/20.

Substituting h = 0, k = -2, and a = 1/20 into the vertex form gives the equation of the parabola as y = 1/20 * x² - 2.

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The vertex form of a parabola is given by the equation y = a(x-h)² + k, where (h, k) is the vertex of the parabola.

The vertex of a parabola is the midpoint between the focus and the directrix. Given the focus (0, -7) and the directrix y = 3, we can find the vertex as follows:

The y-coordinate of the vertex is the average of the y-coordinate of the focus and the directrix, which is (-7 + 3) / 2 = -2. The x-coordinate of the vertex is the same as the x-coordinate of the focus, which is 0. So the vertex is (0, -2).

The value of a in the vertex form of a parabola is 1/(4p), where p is the distance from the vertex to the focus (or equivalently, from the vertex to the directrix). In this case, p = -2 - (-7) = 5. So a = 1/(4*5) = 1/20.

Substituting h = 0, k = -2, and a = 1/20 into the vertex form gives the equation of the parabola as y = 1/20 * x² - 2.

Write the equation in vertex form for the parabola with focus (0,–7) and directrix y=3.Simplify any fractions.

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