Question

Find the equation of the parabola with
vertex at the origin, axis along X-axis and
passing through the point i) (1,6) ii) (2,3)​

Answer 1

Step-by-step explanation:

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

is given as y2=4ax

i) it is passing through (1,−4)

(−4)2=4a(1)

16=4a

a=4

⟹y2=16x

ii) it is passing through (2,3)

(3)2=4a(3)

9=12a

a=43

⟹y2=3x

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