Question

The equation of the parabola
whose vertex is origin, axis
along y-axis and which passes
through the point (4,2) is​

Answer 1

Answer:

ANSWER

Axis of the parabola is along the x−axis.

So the equation of parabola will be of the form

(y−k)

2

=4a(x−h)

Vertex of parabola is at origin

∴h=0 and k=0

The equation then reduces to

y

2

=4ax

This parabola passes through the point (−3,7)

Substituting this point in the equation of parabola, we get

(7)

2

=4a(−3)

So, a=−

12

49

Therefore, the equation of parabola is

y

2

=4(−

12

49

)x

⟹3y

2

=−49x