Question

Write the equation of a parabola given the vertex is (−3,7) and a point on the graph is (−2,−5) .

Answer 1

The equation of the parabola in standard form is y - 7 = - 12 · (x + 3)²

How to determine the equation of the parabola in standard position

In this question we know the locations of the vertex and another point of the graph of a parabola. The standard form of the equation of the parabola is:

y - k = C · (x - h)²       (1)

Where:

• (h, k) - Vertex of the parabola
• C - Vertex constant

If we know that (h, k) = (- 3, 7) and (x, y) = (- 2, - 5), then the vertex constant is:

- 5 - 7 = C · (- 2 + 3)²

- 12 = C · 1²

C = - 12

Finally, the equation of the parabola in standard form is y - 7 = - 12 · (x + 3)².

To learn more on parabolas: https://brainly.com/question/21685473

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