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Parabola
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True or False. The axis of symmetry and directrix are always parallel to each other.
False.
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True or False. Directrix is a line perpendicular to axis of symmetry.
True
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How can we get the value of p?
By substituting the value of the given to the standard form.
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How are we going to find the parts of a parabola?
Using the patterns
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What is the focus of the parabola when it opens upward?
(0,p)
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What do you think is the equation of axis of symmetry when the parabola opens to the left?
y=0
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What do you think is the equation of the directrix when the parabola open to the right and the vertex is at the origin?
x = -p
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It is the locus of points such that the distance from a point to a focus is equal to the distance from the same point and the directrix.
Parabola
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What are the endpoints of the Latus Rectum when the parabola opens downward?
(-2p, -p) & (2p, -p)
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It the given is x^2 = 4py and the vertex is at the origin, what is the opening of the parabola?
Upward
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It is a line that divides the parabola in half.
Axis of Symmetry
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What should we do with the patterns in finding the parts of a parabola?
We will simply follow the format.
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It is the sharpest turning point of a parabola.
Vertex
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