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klio [65]
3 years ago
15

Write the equation of the parabola in vertex form. Vertex (2,1), point (3, -4)

Mathematics
1 answer:
Ket [755]3 years ago
6 0

Answer:

U=1-5(x-2)^2

Step-by-step explanation:

The equation of the parabola with vertex (h,k) is y=a(−h+x)2+k

Thus, the equation of the parabola is y=a(x−2)2+1

To find a, use the fact that the parabola passes through the point (3,−4): −4=a+1

Solving this equation, we get that a=−5

Thus, the equation of the parabola is y=1−5(x−2)^2

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