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form of a parabola who has a focus of ( 1,5) and a directrix of y=11
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What is the standard form of a parabola who has
a focus of ( 1,5) and a
directrix of y=11
What is the standard form of a parabola who has
a focus of ( 1,5) and a
directrix of y=11
ANSWER:
2( 1) 12 8x y
The equation above is the graph of which
conic section?
2 22 5 5 6 4 8x y x y y
The equation above is the graph of which
conic section?
2 22 5 5 6 4 8x y x y y
ANSWER:Hyperbola
2 22 5 5 6 4 8x y x y y
State the equation relating a, b and c which describes how you find the foci in a hyperbola.
State the equation relating a, b and c which describes how you find the foci in a hyperbola.
ANSWER:
2 2 2c a b
What is the standard form of the equation of
a vertical ellipse centered at the origin?
What is the standard form of the equation of
a vertical ellipse centered at the origin?
ANSWER:2 2
2 21
x y
b a
How long is the minor axis of an
ellipse?
How long is the minor axis of an
ellipse?
ANSWER:
2b
State the slope of the asymptotes of the following hyperbola:
2 2
13 5
y x
State the slope of the asymptotes of the following hyperbola:
2 2
13 5
y x
ANSWER:
3
5m
The equation above is the graph of
which conic section?
2 23 12 4y x
The equation above is the graph of
which conic section?
2 23 12 4y x
ANSWER:
A
CIRCLE
Identify the conic section based off of the
parametric equations below:
2 3cos 5 3sinx t and y t
Identify the conic section based off of the
parametric equations below:
2 3cos 5 3sinx t and y t
ANSWER:
CIRCLE
State the value of “c” in the following
equation:2 2
19 16
y x
State the value of “c” in the following
equation:2 2
19 16
y x
ANSWER:
7
What is the length of the sum of the distances from any point on an
ellipse to its foci?
What is the length of the sum of the distances from any point on an
ellipse to its foci?
ANSWER:
2a
The equation below is the graph of which conic
section?2 2
16 6
x y
The equation below is the graph of which conic
section?2 2
16 6
x y
ANSWER:
CIRCLE
Write the parametric equations for the conic
section below: 2 21
17 16
y x
Write the parametric equations for the conic
section below: 2 21
17 16
y x
ANSWER:
4 tan
1 7 sec
x t
y t
State the coordinates of the foci of the following
conic section: 2 2
2 31
8 7
x y
State the coordinates of the foci of the following
conic section: 2 2
2 31
8 7
x y
ANSWER:
FOCI:
2 15, 3
State the value of “p” in
the following equation:
212 7 3x y
State the value of “p” in
the following equation:
212 7 3x y
ANSWER:
p=3
State the equation in general form of ANY conic section
State the equation in general form of ANY conic section
ANSWER:
2 2 0Ax Bxy Cy Dx Ey F
