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