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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Nonlinear Systems and the Conic Sections
The Parabola
Warm-Ups
1
There is a parabola with focus (2, 3), directrix y = 1, and vertex (0, 0).
A)
TRUE
B)
FALSE
2
The focus for the parabola y = (1/4)x
2
+ 1 is (0, 2).
A)
TRUE
B)
FALSE
3
The graph of y - 3 = 5(x - 4)
2
is a parabola with vertex (4, 3).
A)
TRUE
B)
FALSE
4
The graph of y = 6x + 3x + 2 is a parabola.
A)
TRUE
B)
FALSE
5
The graph of y = 2x - x2 + 9 is a parabola opening upward.
A)
TRUE
B)
FALSE
6
For y = x
2
the vertex and y-intercept are the same point.
A)
TRUE
B)
FALSE
7
A parabola with vertex (2, 3) and focus (2, 4) has no x-intercepts.
A)
TRUE
B)
FALSE
8
The parabola with focus (0, 2) and directrix y = 1 opens upward.
A)
TRUE
B)
FALSE
9
The axis of symmetry for y = a(x - 2)
2
+ k is x = 2.
A)
TRUE
B)
FALSE
10
If a = 1/(4p) and a = 1, then p = 1/4.
A)
TRUE
B)
FALSE
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