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Here are the important names.
Parabola parts math. The a in the vertex form of a parabola corresponds to the a in standard form. Fill in the points or lines. X y intercept. Circle if it is a max or a min.
Opens up or down. The focal length the semi latus rectum is. F x a x h 2 k. The vertex is.
It is usually represented with the point v of vertex. Name parabola review 9 1 for each parabola label all parts on the curve. Y a x h 2 k. The directrix and focus explained above the axis of symmetry goes through the focus at right angles to the directrix the vertex where the parabola makes its sharpest turn is halfway between the focus and directrix.
The vertex form of a parabola is. From the section above one obtains. In vertex form h k describes the vertex of the parabola and the parabola has a line of symmetry x h. If a is positive the parabola will open upwards.
The previous section shows that any parabola with the origin as vertex and the y axis as axis of symmetry can be considered as the graph of a function for the parabolas are opening to the top and for are opening to the bottom see picture. The vertex form of a parabola with its vertex at h k is. The parts of a parabola that we will mention are the following. If a is negative the parabola will open downwards.
For sideways horizontal parabolas the y part is squared. The focus is. The important difference in the two equations is in which variable is squared.
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