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Question

Find the equation of parabola if vertex $$(0, 0)$$ passing through $$(2, 3)$$ and axis is along $$x-axis$$.


Solution

Axis is along with x-axis
$$\therefore$$ equation of parabola
$$y^{2}=4ax.....((0,0)$$ is vertex
$$\therefore  9=4a(2)$$
$$\therefore 4a=\dfrac{9}{2}$$
$$\therefore$$ equation of parabola
$$y^{2}=\dfrac{9x}{2}$$.

Mathematics

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