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SSSSS [86.1K]
2 years ago
12

Given the vertex and another point, write the equation in vertex form: vertex (2, -5) point (3, -2)

Mathematics
1 answer:
Viefleur [7K]2 years ago
8 0

Answer:

y = 3(x - 2)² - 5

Step-by-step explanation:

Let the equation of the parabola is,

y = a(x - h)² + k

Here, (h, k) is the vertex of the given parabola.

Since, vertex of the parabola is (2, -5)

Equation of the parabola will be,

y = a(x - 2)²- 5

Since, parabola passes through a point (3, -2),

-2 = a(3 - 2)²- 5

-2 + 5 = a(1)

a = 3

Therefore, equation of the parabola will be,

y = 3(x - 2)²- 5

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