50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20...

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Transcript of 50 Miscellaneous Parabolas Hyperbolas Ellipses Circles 40 30 20 10 20 30 40 50 10 20 30 40 50 10 20...
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What is the center of the circle with the equation(x – 2)2 + (y + 5) 2 = 9
(2, 5)
What is the radius of the circle with the equation(x – 1) 2 + (y – 3) 2 = 9
3
What is the standard form of the equation of a circle with center at the origin and a radius of 4?
x2 + y2 = 16
What is the standard form of the equation of a circle that has a diameter
with endpoints (2, 10) and (6, 4)?
(x – 2)2 + (y – 7)2 = 25
Find the center and the radius for the circle with
the equationx2 + y2 – 4x +12y + 30 =
0
How many vertices do ellipses have?
4
If the foci of an ellipse are (0, 5) and (0, 5), is
the major axis horizontal or vertical?
Vertical
In an ellipse, if a = 4 and b = 3, what is c?
Write the standard form of the equation of an
ellipse with foci at (4, 7) and (4, 1), and
whose major axis is 10 units long.
Find the coordinates of the center, the foci, and the vertices of the ellipse
with the equation 4x2 + 9y2 40x +36y +100
= 0
What is the relationship
between a, b, and c for
hyperbolas? (equation)
a2 + b2 = c2
What are the names of the two axes for
hyperbolas?
TransverseAnd
Conjugate
Write the standard form of the equation of a
hyperbola where a = 3 and the foci are at (0, 5)
and (0, 5)
Write the standard form of the equation of a
hyperbola with foci at (0, 8) and
(0, 8) and vertices at (0, 6) and (0, 6)
The equation of a parabola has how many
squared terms?
1
What variable represents the distance from the
vertex of a parabola to the focus?
p
If a parabola has a directrix at y = 1 and a focus at (2, 3), what is
the vertex of the parabola?
(2, 1)
Write the standard form of the equation of the parabola where the
vertex is at (2, 3) and the focus is at (5, 3)
(y  3)2 = 28(x  2)
Find the vertex, the focus, the directrix, and the axis for the parabola
with equationy2 – 2y – 12x + 13 = 0
Vertex: (1, 1)Focus: (4, 1)
Directrix: x = 2Axis: y = 1
Which conic section has two vertices?
Hyperbola
What type of conic section is represented by the equation x2 – 4y 6x
+9 = 0 ?
Parabola
Which type of conic section is represented by
the equation4x2 – 4y2 + 5x – 6y +12 =
0?
Hyperbola
Write the standard form of the equation
4x2 + 4y2 + 8x + 16y + 4 = 0
(x+1) 2 + (y + 2) 2 = 4