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...

  • 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?

  • TransverseAndConjugate

  • 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

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