$\"\"$

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The equation for the tangent line is $\"\"$ .

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The point on the parabola is $\"\"$ .

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The tangent line touches the curve at $\"\"$ .

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Find the lenght of the isosceles traingle.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The lenght of the isosceles traingle is $\"\"$ .

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$\"\"$

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The distance from $\"\"$ to the point of tangency $\"\"$ and find the tangent line distance.

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$\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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Square roots on both sides.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Substitute $\"\"$ in above equation.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ and $\"\"$ .

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Substitute $\"\"$ in $\"\"$ to find $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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The point of tangent line is located at $\"\"$ .

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since the parabola open to write the equation of parabola is $\"\"$ and

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the focus is located at $\"\"$ .

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The focus is at point is $\"\"$ .

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At $\"\"$ and $\"\"$ . The standard form of the equation

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the point of tangency and equation of $\"\"$ to solve $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ , $\"\"$ and $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$ and $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The parabola equation is $\"\"$ .