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  • Find the equation of the parabola that satisfies the following conditions: Vertex (0,0) passing through (2,3) and axis is along x-axis

Find the equation of the parabola that satisfies the following conditions: Vertex (0,0) passing through (2,3) and axis is along x-axis

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Since;the;vertex;A;is;(0,0);and;the;axis;of;the;parabola;is;the;x-axis\* Equation;of;the;parabola;is;either;of;the;form;y^2=4ax;or;y^2=-4ax\* The;parabola;passes;through;point;(2,3);which;lies;in;the;first;quadrant\* Therefore,;the;equation;of;the;parabola;is;of;the;form;y^2=4ax\* Point;(2,3);must;satisfy;the;equation;y^2=4ax\* herefore;3^2=4a(2)\* Rightarrow;a=frac98\*Thus,;the;equation;of;the;parabola;is Rightarrow;y^2=4(frac98)x\*Rightarrow;y^2=frac92x\*

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Deependra Verma

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