ellipse and circle review

Determine the standard form of the given conic

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What is the equation used to determine the foci of an ellipse?

The set of all points in a plane such that the sum of two fixed points is a constant is a/an _____.

• Circle

• Ellipse

• Parabola

• Hyperbola

If an ellipse is stretch horizontally then which statement if true?

• b² is the denominator of the y² term

• a² is the denominator of the x² term

• b² is the denominator of the x² term

• a² is the denominator of the y² term

If an ellipse has a center at (2, –3) and an endpoint on the major axis at (–4, –3), determine the length of the major axis. . .

• 3

• 6

• 8

• 12

Write the equation of a circle with center (7, 0) with radius 3.

• (x - 7)² + y² = 9
• x² + (y -7)² = 9
• (x - 7)² + y² = 3
• x² + (y -7)² = 3

What is the equation of circle K?

• (x+1)² + (y +1)² = 3
• (x+1)² + (y -1)² = 3
• (x+1)² + (y +1)² = 9
• (x-1)² + (y -1)² = 9

The equation of a circle is x² + y² + 6x - 12y + 20 = 0. Write the equation in standard form.

• (x - 3)² + (y + 6)² = 25

• (x + 3)² + (y - 6)² = 25

• (x - 3)² + (y + 6)² = 45

• (x + 3)² + (y - 6)² = 5

If an ellipse is stretched vertically then which statement if true?

• b² is the denominator of the x² term

• a² is the denominator of the x² term

• a² is the denominator of the y² term

• b² is the denominator of the y² term