objective: parabolas students will graph and write equations of parabolas. 16.0 students demonstrate...
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OBJECTIVE:
Parabolas
Students will graph and write equations of Parabolas.
16.0 Students demonstrate and explain how the geometry of the graph of a conic section (e.g., asymptotes, foci, eccentricity) depends on the coefficients of the quadratic equation representing it.
STANDARD(S):
9.2
Friday, April 21, 2023 Page #12
ParabolasParabola – has the property that any point on it is equadistant from a
point called the focus and a line called the directrix.
Vertex
Focus
directrix
directrix
Focus
Vertex
x2=4py
Characteristics of a Parabola The standard form of the equation of a parabola
2y=x
Characteristics of a Parabola The standard and Focus form of the equation of a parabola
2y x
2y x
2 4x py
2 4x py
Standard Form
FocusForm
Characteristics of a Parabola The Inverse of a parabola
2y x
2x y
2 4x py
2 4y px
Standard Form
FocusForm
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