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Find the equation of the parabola that satisfies the given conditions: Focus (6,0); directrix x = - 6

7.  Find the equation of the parabola that satisfies the given conditions:

      Focus (6,0); directrix x = - 6

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Given, in a parabola,

Focus : (6,0) And Directrix : x = - 6

Here,

Focus is of the form (a, 0), which means it lies on the X-axis. And Directrix is of the form x=-a which means it lies left to the Y-Axis.

These are the condition when the standard equation of a parabola is.y^2=4ax

Hence the Equation of Parabola is

 y^2=4ax

Here, it can be seen that:

a=6

Hence the Equation of the Parabola is:

\Rightarrow y^2=4ax\Rightarrow y^2=4(6)x

\Rightarrow y^2=24x.

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