Conics Converting

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

• a

• b

• c

• d

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)² + (y - 3)² = 25 ?

• Center (4,3)
  Radius = 5 units

• Center (4,3)
  Radius = 25 units

• Center (-4,-3)
  Radius = 25 units

• Center (-4,-3)
  Radius = 5 units

Find the equation of the figure shown.

• (x-5)² + (y-3)² = 25

• (x+5)²/4 + (y+3)²/9 = 1

• (x-5)²/2 + (y-3)²/3 = 1

• (x-5)²/4 + (y-3)²/9 = 1

Determine if the following statement is true or false.
The standard form of the equation x² + y² – 4y - 25 = 0 is equal to x² + (y – 2)² =   25

• True

• False

Which conic is given by (x-4)² = 8(y - 3)?

• Hyperbola

• Ellipse

• Circle

• Parabola

Change the following equation to standard form
x²+y²-4x+12y-8=0

• (x+2)²+(y-6)²=48

• (x-2)²+(y+6)²=48

• (x-6)²+(y-2)²=48

• (x+2)²+(y-6)²=48

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

What is the equation of the circle shown in the graph?

Mathematical Equivalence

ON

Find the equation of the figure shown.

• (x-1)²/16 - (y+2)²/4 = 1

• (x+1)²/16 - (y-2)²/4 = 1

• (y+2)²/4 - (x-1)²/16 = 1

• (x-1)²/4 - (y+2)²/2 = 1