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Writing an Equa
Suppose a parabola has a vertex (2,3) and also passes
through the point (3,1). Write the equation of the
parabola in vertex form.
(MUST SHOW WORK)

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Answer:

Step-by-step explanation:

(3,1) lies below the vertex, so the parabola opens downwards.

Equation for a down-opening parabola with vertex (2,3):

y = a(x-2)² + 3, a<0

Plug in (3,1) and solve for a:

1 = a1² + 3

a  = -2

y = -2(x-2)² + 3

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