Question

Find the equation of the parabola with
vertex at the origin, axis along X-axis and
passing through the point (3,4)​

Answer 1

Answer:

The equation of parabola passing through origin and axis along x axis  

is given as y  

2

=4ax

i) it is passing through (1,−4)

(−4)  

2

=4a(1)

16=4a

a=4

⟹y  

2

=16x

ii) it is passing through (2,3)

(3)  

2

=4a(3)

9=12a

a=  

4

3

​  

 

⟹y  

2

=3x

Explanation:

Hope this will help you.