$\"\"$

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The equation of parabola is $\"\"$ .

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The tangent line to the curve has slope 4 at $\"\"$ .

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The tangent line to the curve has slope $\"\"$ at $\"\"$ .

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Slope of the tangent line is derivative of the function.

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$\"\"$

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Differentiate on each side with respect to $\"\"$ .

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$\"\"$

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Find slope at $\"\"$ .

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$\"\"$

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Slope of the tangent line at $\"\"$ is 4.

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$\"\"$

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Find slope at $\"\"$ .

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$\"\"$

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Slope of the tangent line at $\"\"$ is $\"\"$ .

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$\"\"$

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$\"\"$

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Solve equations (1) and (2) to find $\"\"$ values.

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Add equations (1) and (2).

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$\"\"$

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Substitute $\"\"$ in (1).

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$\"\"$

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$\"\"$

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Substitute $\"\"$ in the $\"\"$ .

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$\"\"$ .

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Parabola passes through the point $\"\"$ .

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

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$\"\"$

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

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$\"\"$ .

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$\"\"$ .