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

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

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?

x 2 + y 2 = 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 equation x 2 + y 2 – 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 4x 2 + 9y 2 -40x +36y +100 = 0

What is the relationship between a, b, and c for hyperbolas? (equation)

a 2 + b 2 = c 2

What are the names of the two axes for hyperbolas?

Transverse And 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 equation y 2 – 2y – 12x + 13 = 0

Vertex: (1, 1) Focus: (4, 1) Directrix: x = -2 Axis: y = 1

Which conic section has two vertices?

Hyperbola

What type of conic section is represented by the equation x 2 – 4y -6x +9 = 0 ?

Parabola

Which type of conic section is represented by the equation 4x 2 – 4y 2 + 5x – 6y +12 = 0?

Hyperbola

Write the standard form of the equation 4x 2 + 4y 2 + 8x + 16y + 4 = 0

(x+1) 2 + (y + 2) 2 = 4

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