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