Question

A parabola opens upward. The parabola goes through the point (3, -1), and the vertex is at (2, -2). write the equation of the parabola

Answer 1

The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)

What is a Parabola ?

A parabola is a u shaped curve. It is a plane curve whose all points are at a fixed distance form a point called focus.

(x-h)² = 4a(y-k)

It is given that the parabola goes through the point (3, -1), and the vertex is at (2, -2).

Therefore
(x -2)² = 4a(y +2)

The parabola passes through the point (3,-1)

(3-2)² = 4*a(-1+2)

1 = 4 a

a = 1/4

The equation of the parabola is

(x-2)² = (y+2)

Therefore The value of a is 1/4 and the equation of the parabola is (x-2)² = (y+2)

To know more about Parabola

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