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The equation is $\"\"$ .

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Since the $\"\"$ -term is squared, the parabola is vertical.

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Standard form of the vertical parabola is $\"\"$ .

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Where

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Vertex : $\"\"$ ,

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Focus : $\"\"$ ,

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Axis of symmetry : $\"\"$ ,

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Directrix : $\"\"$ .

\

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The parabola equation is $\"\"$ .

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Write the equation in standard form.

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$\"\"$

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To change the expression $\"\"$ into a perfect square binomial, add $\"\"$ to each side of the equation.

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Here $\"\"$ coefficient $\"\"$ .

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So, $\"\"$ .

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Add $\"\"$ to each side of $\"\"$ .

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$\"\"$

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Compare the above eqation with $\"\"$ .

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Since $\"\"$ , the parabola opens down.

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Vertex : $\"\"$ ,

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Focus : $\"\"$ ,

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Axis of symmetry : $\"\"$ ,

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Directrix : $\"\"$ .

\

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Construct a table values to graph the general shape of the curve.

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The equation is $\"\"$ .

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Solve for $\"\"$ .

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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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\"\"

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$\"\"$

\

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$\"\"$

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$\"\"$

\

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Graph :

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Graph the vertex, focus, axis of symmetry and directrix of the parabola.

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Plot the points obtained in the above table.

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Connect those points with a smooth curve.

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Graph of $\"\"$ :

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$\"\"$

\

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Vertex : $\"\"$ .

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Focus : $\"\"$ .

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Axis of symmetry : $\"\"$ .

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Directrix : $\"\"$ .

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Graph of $\"\"$ is

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$\"\"$