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Warm-up

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Warm-up What do we need to keep the same? What do we need to change? Chapter 8 Conic Sections Circles What do you need to graph a circle? – PowerPoint PPT presentation

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Title: Warm-up


1
Warm-up
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2
(No Transcript)
3
What do we need to keep the same?
4
What do we need to change?
5
Chapter 8
  • Conic Sections
  • Circles

6
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

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

8
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

9
State the center and the radius
  • x2 2x 1 y2 4
  • x2 y2 4y 16 0
  • x2 4x 5 y2 2y 25

10
Graphing Circles
  • x2 y2 25
  • (x-2)2 (y4)2 49

11
Now you graph these on your own!
  • (x - 3)2 (y - 1)2 9
  • (x - 5)2 (y - 4)2 16

12
Graph on your own
  • (x - 1)2 (y - 5)2 25
  • (x 2)2 (y - 7)2 36

13
Keep going!
  • (x 7)2 (y 5)2 49
  • (x 8)2 (y 10)2 50

14
Write the equation of the circle
  • Center (-4, 3) radius 4
  • Center (5, -2) radius 8
  • Center (-2, 3) radius 3

15
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.

16
Homework!
  • Worksheet
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