Question

Equation of parabola with vertex (0,0), Y-axis
as axis of symmetry, and passing through (3,-9).is​

Answer 1

Answer:

The vertex of the parabola is at origin and it is symmetric with respect to y−axis

Also, it passes through (2,−2) , a point in the fourth quadrant.

Let its equation be x

2

=−4ay ........(1)

As it passes through (2,−2), we get

2

2

=−4a×−2⇒a=

2

1

Substituting this value of a in (1), the equation of the parabola is

x

2

=−4×

2

1

y

or x

2

=−2y

Step-by-step explanation:

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