Diagnostic Exam Conics Precalculus

In the equation (x-3)²+(y-2)²=16, the center of the circle is...

• (3,2)

• (-3, -2)

• (-2, -3)

• (2, 3)

Tags

CCSS.HSG.GPE.A.1

What is the center of the shifted ellipse?

• (0,0)

• (-3,1)

• (1,-3)

• (3,-1)

Tags

CCSS.HSG.GPE.A.1

See Picture

• A

• B

• C

• D

Tags

CCSS.HSG.GPE.A.1

What is the center of the hyperbola?

• (0, 4)

• (4, 0)

• (-4, 0)

• (0, -4)

Which of the following statements are NOT true

• The minor axis of a vertical ellipse is vertical

• The transverse axis of a horizontal hyperbola is horizontal.

• Another name for the transverse axis of a hyperbola is the minor axis.

• If the equation of a circle is: x² + y² = 8, the diameter of the circle is 16.

• The parabola 12y = 6x² -30 opens up

Tags

CCSS.HSG.GPE.A.1

Which of the following are true?

• A parabola has 2 foci.

• A circle's diameter is equal to it's radius squared

• A hyperbola uses a²+b²=c²

• An ellipse uses a²+b²=c²

• The distance from the center to a vertex along the transverse axis is 'a' in a hyperbola

A telescope is built using a hyperbolic mirror modeled by the equation and a parabolic mirror that open downward. The parabola has the vertex (-1, -4) and shares a focus with the hyperbola. What are the coordinates of the focus they share?

• (-1, -4)

• (4, -1)

• (-1, 6)

• (-6, -1)

Tags

CCSS.HSG.GPE.A.1

What are the vertices of the hyperbola?

• (0, 3) and (0, -3)

• (-4, 3) and (-4, -3)

• (0, 1) and (0, -1)

• (4, 0) and (-4, 0)

Is the hyperbola opening vertically or horizontally?

• Vertically

• Horizontally

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

• (x - 2)² + (y + 5)² = 36

• (x - 5)² + (y + 2)² = 6

• (x + 5)² + (y - 2)² = 36

• (x + 2)² + (y - 5)² = 6

Tags

CCSS.HSG.GPE.A.1