section 10.2: the parabola

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172 Part 1: Video Notebook Copyright © 2019 Pearson Education, Inc. Section 10.2: The Parabola Key Topics: equations of a parabola, directrix, focus, axis, vertex, latus rectum, focal diameter

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Page 1: Section 10.2: The Parabola

172 Part 1: Video Notebook

Copyright © 2019 Pearson Education, Inc.

Section 10.2: The Parabola

Key Topics: equations of a parabola, directrix, focus, axis, vertex, latus rectum, focal diameter

Page 2: Section 10.2: The Parabola

Chapter 10: Conic Sections 173

Copyright © 2019 Pearson Education, Inc.

Graph 2 12y x and specify the vertex, focus, directrix, and axis of symmetry. Label these on your graph.

Page 3: Section 10.2: The Parabola

174 Part 1: Video Notebook

Copyright © 2019 Pearson Education, Inc.

Sketch the graph of the parabola 2 4 12 64 0x x y .

Page 4: Section 10.2: The Parabola

Chapter 10: Conic Sections 175

Copyright © 2019 Pearson Education, Inc.

Section 10.3: The Ellipse

Key Topics: equations of an ellipse, foci, vertices, center, major axis, minor axis

The equation 2 2

2 2 1x ya b

is the standard form of the equation of an ellipse with _____

(0, 0) and foci _____ and _____, where 2 ________.b

Page 5: Section 10.2: The Parabola

176 Part 1: Video Notebook

Copyright © 2019 Pearson Education, Inc.

Find the standard form of the equation of the ellipse that has vertex 0,13 and foci 0, 5 .

Page 6: Section 10.2: The Parabola

Chapter 10: Conic Sections 177

Copyright © 2019 Pearson Education, Inc.

Sketch a graph of the ellipse whose equation is 2 225 16 400x y and specify the foci.

Page 7: Section 10.2: The Parabola

178 Part 1: Video Notebook

Copyright © 2019 Pearson Education, Inc.

Section 10.4: The Hyperbola

Key Topics: equations of a hyperbola, foci, transverse axis, conjugate axis, vertices

The two parts of the hyperbola are called ____________.

Page 8: Section 10.2: The Parabola

Chapter 10: Conic Sections 179

Copyright © 2019 Pearson Education, Inc.

Does the hyperbola 2 2

115 20y x have its transverse axis on the x-axis or the y-axis? _______

Find the standard form of the equation of a hyperbola with vertices 0, 12 and foci 0, 13.

Determine the asymptotes of the hyperbola 2 2

125 16x y .

Page 9: Section 10.2: The Parabola

180 Part 1: Video Notebook

Copyright © 2019 Pearson Education, Inc.

Graph 2 225 4 100.x y

Page 10: Section 10.2: The Parabola

Chapter 10: Conic Sections 181

Copyright © 2019 Pearson Education, Inc.

Page 11: Section 10.2: The Parabola