conic sections

What is the directrix of the parabola
(x - 4)² = 8(y + 3)?

• y = - 3
• x= 5
• y= - 5
• y= 2

Tags

CCSS.HSG.GPE.A.2

What is the focus of the following parabola?
(y + 5)² = -12 (x - 2)

• (2, - 5)
• ( -5, 2)
• (1 , -5 )
• (-1, -5 )

Tags

CCSS.HSG.GPE.A.2

What is the center of the ellipse?

• (0, 0)
• (1, 5)
• (1, 0)
• (0, 1)

Tags

CCSS.HSG.GPE.A.1

Write an equation for the ellipse with each set of characteristics. Then answer the question.

Vertices ( -2, -4), (-2, 8)

Length of minor axis is 10

• $\left(\frac{x+2}{6}\right)^2+\left(\frac{y-2}{5}\right)^2=1$

• $\left(\frac{x-2}{6}\right)^2+\left(\frac{y-2}{5}\right)^2=1$

• $\left(\frac{x+2}{5}\right)^2+\left(\frac{y-2}{6}\right)^2=1$

• $\left(\frac{x-2}{5}\right)^2+\left(\frac{y+2}{6}\right)^2=1$

Tags

CCSS.HSG.GPE.A.1

What direction does the parabola open?

(y-9)² = -4(x+4)

• Up

• Down

• Left

• Right

What is "a" and the vertex in the equation:

(y-9)² = -4(x+4)

• $-\frac{1}{4}$ ; (-4,9)

• $-\frac{1}{4}$ ; (9,-4)

• - 4; (-4,9)

• -4; (9,-4)

• -4; (-4,-9)

Write parametric equations for the ellipse with the set of characteristics.

Vertices ( 3, 4), (-9, 4)

Length of minor axis is 8

• $x=-3+6\cos T;\ y=4+4\sin T$

• $x=-3+6\sin T;\ y=4+4\cos T$

• $x=3+4\cos T;\ y=-4+6\sin T$

• $x=-3+4\cos T;\ y=4+6\sin T$

What number would go in the blank?

• $-\frac{1}{8}$

• -4

• -8

• $-\frac{1}{2}$

Given the directrix is x = -2 and the focus is (1,2), what would the equation of the parabola be?

•  $x=\frac{1}{6}\left(y-2\right)^2+\frac{1}{2}$  

•  $x=\frac{1}{6}\left(y-\frac{1}{2}\right)^2+2$  

•  $x=\frac{1}{6}\left(y-2\right)^2+2$  

•  $y=\frac{1}{12}\left(x+\frac{1}{2}\right)^2+2$  

•  $y=\frac{1}{12}\left(y-2\right)^2+\frac{1}{2}$  

• Vertical Hyperbola
• Vertical Ellipse
• Horizontal Hyperbola
• Horizontal Ellipse

Tags

CCSS.HSG.GPE.A.3