Hyperbola and Parabola

Write the equation of the hyperbola in standard form.

9x² - 54x - 4y² + 16y +101 = 0

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Find the vertex, focus, and directrix of the parabola: x² = 28y

• Vertex: (0, 0) Focus: (0,7) Directrix: y=-7

• Vertex: (0, 0) Focus: (7,0) Directrix: y=7

• Vertex: (0, 0) Focus: (0,-7) Directrix: x=-7

• Vertex: (0, 0) Focus: (7, 0) Directrix: x=7

If a parabola has a focus at (3,0) and a vertex at the origin...what is the equation of the directrix?

• y=3

• y=-3

• x=3

• x=-3

What is the equation of a parabola with Focus (1,3) and the directrix y = -2 ?

What is the equation of a parabola with Focus (2,4) and the directrix x = 6

A hyperbola centered at (-3, 2) with a horizontal tranverse axis has asymptotes y-2 = ± ¾(x+3). Which of the following could be the equation of the hyperbola in standard form?

• (x + 3)²/16 + (y - 2)²/ 9 = 1

• (x + 3)²/ 4 - (y - 2)²/ 3 = 1

• (x + 3)²/16 - (y - 2)²/ 9 = 1

• (x + 3)²/ 9 - (y - 2)²/ 16 = 1

Which type of conic section is this equation?

• Parabola

• Circle

• Ellipse

• Hyperbola

Which conic does the equation represent?

• Parabola

• Circle

• Ellipse

• Hyperbola

Which conic section is represented by the equation

9x² - 4y² - 54x - 40y - 55 = 0

• Circle

• Ellipse

• Hyperbola

• Parabola

What is the equation of this parabola?

• (y - 1)² = -4(x-3)

• (y - 1)²= 4(x+3)

• (y + 1)² = 4(x-3)

• (y - 1)² = -4(x+3)