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Alex
3 years ago
6

Write the equation of the parabola in vertex form.vertex (3,2), point (2,-2)

Mathematics
1 answer:
kiruha [24]3 years ago
7 0

Answer:

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

Step-by-step explanation:

y=a(x-p)^2+q - equation of the parabola in vertex form

from vertex (3,2) we know that p=3, \ q=2

from point (2,-2) we know that x=2, \ y=-2

inserting p=3, q=2, x=2 and y=-2 to the equation y=a(x-p)^2+q, we calculate a

-2=a(2-3)^2+2\\ -2=a\cdot(-1)^2+2\\ -2=a\cdot1+2\\ -2=a+2\\ -2-2=a\\ -4=a\\ a=-4

insert a=-4, p=3 and q=2 to the equation

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

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