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Tues 4/12 Lesson 10 – 3 Learning Objective: To graph circles Hw: Pg. 634 #5 – 61 eoo, skip 13, 47.

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Presentation on theme: "Tues 4/12 Lesson 10 – 3 Learning Objective: To graph circles Hw: Pg. 634 #5 – 61 eoo, skip 13, 47."— Presentation transcript:

1 Tues 4/12 Lesson 10 – 3 Learning Objective: To graph circles Hw: Pg. 634 #5 – 61 eoo, skip 13, 47

2 Algebra II

3  To graph circles

4 Circle – Set of all points in a plane that are a distance r (radius) from a given point (center of the circle). Highlight Distance Formula on your paper! Cross off d = It gets confusing

5 Highlight Standard Form of an equation of a circle on your paper!

6  Determine where the center (h, k) is  Determine what the radius r is  If given center, and a point on the circle, find the distance between the center and the point  If given the endpoints of the diameter, find the distance of the diameter then divide by 2  Plug into the standard form of an equation of a circle Don’t write!! It’s already there. JUST READ

7 1. Center (-4, 3), radius 4 2. Center (5,-2), radius 8

8 3. Center (-8, -3), point on the circle (-8, 8)

9 4. Endpoints of a diameter (5, 0) & (-5, 0)

10

11  Get into standard form by completing the square  Determine where the center (h, k) is  Determine what the radius r is  Plot a point on the center  Count the radius r up, down, left, right from the center  Graph a circle using those four points  OR graph by translation of parent graph JUST READ. It’s on your paper!

12 r = 3

13 Radius: 4 Center: (0, 0)

14 Radius: 2 Center: (-3, 2)

15 #3 should have “3 units down and 5 units right” Write it down! #4 CROSS OFF “3 units down and 5 units right”

16 Radius: 2 Center: (5, -3) Before After

17 Radius: 4 Center: (0, -3)

18 Center: (3, -2)

19 Center: (-1, -3) 9


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