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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University

Nonlinear Systems and the Conic Sections
The Ellipse and Hyperbola

Warm-Ups



1

The x-intercepts of the ellipse x2/36 + y2/25 = 1 are (5, 0) and (-5, 0).
A)TRUE
B)FALSE
2

The graph of x2/9 + y/4 = 1 is an ellipse.
A)TRUE
B)FALSE
3

If the foci of an ellipse coincide, then the ellipse is a circle.
A)TRUE
B)FALSE
4

The graph of 2x2 + y2 = 2 is an ellipse centered at the origin.
A)TRUE
B)FALSE
5

The y-intercepts of x2 + y2/3 = 1 are (0, 31/2) and (0, -31/2).
A)TRUE
B)FALSE
6

The graph of x2/9 + y/4 = 1 is a hyperbola.
A)TRUE
B)FALSE
7

The graph of x2/25 - y2/16 = 1 has y-intercepts at (0, 4) and (0, -4).
A)TRUE
B)FALSE
8

The hyperbola y2/9 - x2 = 1 opens up and down.
A)TRUE
B)FALSE
9

The graph of 4x2 - y2 = 4 is a hyperbola.
A)TRUE
B)FALSE
10

The asymptotes of a hyperbola are the extended diagonals of a rectangle.
A)TRUE
B)FALSE