Step 1 :

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The parabola equation is $\"\"$ .

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Write the equation in a translated form of a parabola $\"\"$ .

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Where $\"\"$ is the vertex of the parabola,

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p is the directed distance from vertex to focus,

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Focus is $\"\"$ , and

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Equation of the directrix is $\"\"$ .

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Step 2 :

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The parabola equation is $\"\"$ .

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$\"\"$

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Compare the above equation with translated form of a parabola $\"\"$ .

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Vertex $\"\"$ .

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$\"\"$ .

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Focus is $\"\"$ : $\"image\"$ .

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Equation of the directrix :

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$\"image\"$

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Vertex is $\"image\"$ , focus is $\"image\"$ , and directrix is $\"image\"$ .

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Step 3 :

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The parabola is $\"\"$ .

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Vertex is $\"image\"$ , focus is $\"image\"$ , and directrix is $\"image\"$ .

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Make the table of values to find ordered pairs that satisfy the equation.

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Choose values for x and find the corresponding values for y.

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

\ x \	\ $\"\"$ \	\ $\"\"$ \
\ $\"\"$ \	\ $\"image\"$ \	\ $\"image\"$ \
\ $\"\"$ \	\ $\"image\"$ \	\ $\"image\"$ \
\ $\"\"$ \	\ $\"image\"$ \	\ $\"image\"$ \
\ 0 \	\ $\"image\"$ \	\ $\"image\"$ \
\ 2 \	\ $\"image\"$ \	\ $\"image\"$ \
3	\ $\"image\"$ \	\ $\"image\"$ \

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Step 4 :

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1. Draw a coordinate plane.

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2. Plot the vertex and focus of the parabola.

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3. Plot the ordered pairs found in the table.

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4. Connect those plotted points with a smooth curve.

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$\"\"$

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Solution :

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Vertex is $\"image\"$ , focus is $\"image\"$ , and directrix is $\"image\"$ .

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$\"\"$