What is the equation written in vertex form for a parabola with a vertex of (9, -1) that passes through (7,...

Question

What is the equation written in vertex form for a parabola with a vertex of (9, -1) that passes through (7, 7)? A. y = 2(x - 9)^2 - 1 B. y = 2(x + 1)^2 - 9 C. y = 2(x - 7)^2 + 7 D. y = 7(x - 9)^2 - 1

SnapAndSolve AI · Accepted Answer

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

Given the vertex (9, -1), the equation becomes y = a(x - 9)^2 - 1.

To find 'a', use the point (7, 7):

Substitute x = 7 and y = 7 into the equation: 7 = a(7 - 9)^2 - 1.
Simplify: 7 = a(4) - 1.
8 = 4a
a = 2

The equation is y = 2(x - 9)^2 - 1.

The correct answer is A. y = 2(x - 9)^2 - 1.

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What is the equation written in vertex form for a parabola with a vertex of (9, -1) that passes through (7,...

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