Warm-up

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Warm-up

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(No Transcript)
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What do we need to keep the same?
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What do we need to change?
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Chapter 8

• Conic Sections
• Circles

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What do you need to graph a circle?

• Center (h, k)
• Radius r
• Standard form of a circle
• (x - h)2 (y - k)2 r2

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Examples

• Ex x2 y2 25
• Center (0, 0) Radius 5
• Ex (x-2)2 (y4)2 49
• Center (2, -4) Radius 7

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State the center and the radius for each

• (x 4)2 (y - 6)2 36
• (x 1)2 (y - 3)2 49
• (x 3)2 (y 90)2 50
• (x 37)2 (y - 12)2 50

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State the center and the radius

• x2 2x 1 y2 4
• x2 y2 4y 16 0
• x2 4x 5 y2 2y 25

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Graphing Circles

• x2 y2 25
• (x-2)2 (y4)2 49

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Now you graph these on your own!

• (x - 3)2 (y - 1)2 9

• (x - 5)2 (y - 4)2 16

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Graph on your own

• (x - 1)2 (y - 5)2 25

• (x 2)2 (y - 7)2 36

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Keep going!

• (x 7)2 (y 5)2 49

• (x 8)2 (y 10)2 50

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Write the equation of the circle

• Center (-4, 3) radius 4
• Center (5, -2) radius 8
• Center (-2, 3) radius 3

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Write the equation of the circle

• For the translation of x2 y2 9 four units
  left and three units up.
• For the translation of x2 y2 1 five units
  left and three units down.
• For the translation of x2 y2 4 two units
  right and seven units up.

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Homework!

• Worksheet