Question

Find the equation of parabola satisfying the condition vertex (0,0) passing through (-3,4) and axis is along y-axis.

Answer 1

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ANSWER :   16x² = 9y

The axis of parabola is along y-axis. 

So let the equation of parabola be x² = 4by 

The point ( -3 , 4 ) lie on the parabola .

so the point must satisfy the equation of parabola .

( - 3 )² = 4b × 4 

9 = 16b 

b = 9/16 

\(\therefore\) The equation of parabola is 16x² = 9y

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