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The focus of the parabola : \"\".

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The vertex of the parabola : \"\".

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Since the \"\"- coordinate of the focus and vertex is same, the parabola is horizontal.

\

Standard form of the horizontal parabola is \"\".

\

Where

\

Vertex : \"\",

\

Focus : \"\",

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Axis of symmetry : \"\",

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Directrix : \"\".

\

\

Vertex of the horizontal parabola : \"\".

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So, \"\" and \"\".

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Focus of the vertical parabola : \"\".

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\"\"

\

\"\".

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Since \"\", the parabola opens right.

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Axis of symmetry : \"\",

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Directrix : \"\".

\

\

Now write the equation for the parabola in standard form using the values of \"\", and \"\".

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

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Substitute the values of \"\", \"\", and \"\" in standard form.

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\"\"

\

Therefore, the standard form of the equation is \"\".

\

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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\"\"

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\" \

\"\"

\
\"\"
\"\" \

\"\"

\
\

\"\"

\

\"\"

\
\"\" \

\"\"

\
\

\"\"

\

\"\"

\
\

Graph :

\

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.

\

Graph of \"\":

\

\"\"

\

\

The standard form of the equation is \"\".

\

Graph of \"\" is

\

\"\"