OBJECTIVE: Parabolas Students will graph and write equations of Parabolas. 16.0 Students demonstrate...
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Transcript of OBJECTIVE: Parabolas Students will graph and write equations of Parabolas. 16.0 Students demonstrate...
![Page 1: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062519/5697bfcf1a28abf838caa278/html5/thumbnails/1.jpg)
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
![Page 2: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062519/5697bfcf1a28abf838caa278/html5/thumbnails/2.jpg)
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
![Page 3: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062519/5697bfcf1a28abf838caa278/html5/thumbnails/3.jpg)
directrix
Focus
Vertex
x2=4py
Characteristics of a Parabola The standard form of the equation of a parabola
2y=x
![Page 4: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062519/5697bfcf1a28abf838caa278/html5/thumbnails/4.jpg)
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
![Page 5: 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.](https://reader035.fdocuments.net/reader035/viewer/2022062519/5697bfcf1a28abf838caa278/html5/thumbnails/5.jpg)
Characteristics of a Parabola The Inverse of a parabola
2y x
2x y
2 4x py
2 4y px
Standard Form
FocusForm