The parabola equation is .
Write the equation in a translated form of a parabola .
Where is the vertex of the parabola,
is the directed distance from vertex to focus,
Focus is , and
Equation of the directrix is .
The parabola equation is .
Compare the above equation with translated form of a parabola .
Vertex is .
.
Focus is : .
Equation of the directrix:
Vertex is , focus is , and directrix is .
The parabola is .
Vertex is , focus is , and directrix is .
Make the table of values to find ordered pairs that satisfy the equation.
Choose values for and find the corresponding values for .
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1. Draw a coordinate plane.
2. Plot the vertex and focus of the parabola.
3. Plot the ordered pairs found in the table.
4. Connect those plotted points with a smooth curve.
Graph:
Vertex is , focus is , and directrix is .
Graph of the parabola.
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