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Find the equation of the parabola that s...

Find the equation of the parabola that satisfies the given conditions: Vertex (0,0) passing through (2,3) arid axis is along xaxis.

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Vertex = (0,0) and axis is along x-axis.
`:.` Let equation of parabola is `y^(2)=4ax`.
Point (2,3) lies on the parabola.
`:." "(3)^(2)=4a(2)`
`rArr" "4a=(9)/(2)`
Now, equation of parabola is
`y^(2)=(9x)/(2)" "rArr" "2y^(2)=9x`
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