DoYourMath.com Algebrator Manual For Your Algebra Problem Solver | Page 55

Using Algebrator

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Equation of a parabola using its vertex and a point
Equation of a parabola passing through three points
Vertex of a parabola
Focus of a parabola
Axis of symmetry of a parabola
Directrix of a parabola
x-intercepts of a parabola
y-intercepts of a parabola
Determine if a parabola opens up, down, left or right

Watch Video
Vertex of a parabola
2.2.2.5.2.1 Equation of parabola using its vertex and focus

This wizard is used to find the equation of a parabola, given its vertex and focus.

It can be accessed by clicking on Wizard Button | Parabola | Equation of a
parabola using its vertex and focus.

To find the equation of a parabola:
Enter the focus point: (x1 , y1 ).
Enter the vertex point: either (x1 , y2 ) or (x2 , y1 ).
Click on the "Solve Step" button to see the next step or "Solve all" button
to see all steps.

Note that either the x or y coordinate components of the focus and vertex
points must be equivalent; otherwise the given points will not form the parabola.
Note also that the vertex and focus points must be differ from each other.

If you need an explanation for any particular step, click on the step and then
click on the "Explain" button.

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