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)

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

What is the center of the shifted ellipse?

• (0,0)
• (-3,1)
• (1,-3)
• (3,-1)

See Picture

• A
• B
• C
• D

What are the vertices of the ellipse?

• (0, 0)
• (7, 1) and (-1, 1)
• (3, -5) and (3, 7)
• (3, 1)

What is the center of the hyperbola?

• (0, 4)
• (4, 0)
• (-4, 0)
• (0, -4)

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

What are the vertices of the hyperbola with the equation 8x² - 9y² = 72?

• (±2√2, 0)
• (±3, 0)
• (0, ±3)
• (0, ±2√2)

Write an equation of a circle if the ends of the diameter are (18,-13) and (4,-3)

• (x+11)²+(y-8)²=√74

• (x-11)²+(y+8)²=74

• (x+11)²+(y-8)²=74

• (x-11)²+(y+8)²=√74