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Transformations
Circle Equation (given diameter)
Circle Equation (write in standard form) completing the square
Find the center and radius
Circle Equation (write in standard form)
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what is happening during the translation: (x-2,y)

moving 2 left

100

The center is (-1, 0) and the diameter is 24     

(x+1)2+y2=144

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x2+y2-2x+28y+181=0

(x-1)2+(y+14)2=16

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(x-3)2+(y+1)2=36    

center (3,-1)

radius: 6

100

Center: (2, −5) Point on Circle: (−7, −1)

(x − 2)2 + (y + 5)2 = 97

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If a point (2,2) is reflected over x axis, what are the new coordinates?

(2,-2)

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The center is (2, 3) and the diameter is 10     

(x-2)2+(y-3)2=25

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x2+y2+20x+20y+164=0

(x+10)2+(y+10)2=36

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(x-5)2+(y-10)2=25

Center: (5,10)

Radius 5

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Center: (14, 17) Point on Circle: (15, 17)

(x − 14)2+ (y − 17)2 = 1

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If a point (3,-4) is reflected over the x, then the y axis, what are the new coordinates?

(-3,4)

300

The center is (12, -3) and the diameter is 14   

(x-12)2+(y+3)2=49

300

x2+y2-16y-36=0

x2+(y-8)2=100

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x2+y2=17

Center (0,0) 

Radius: square root of 17

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Center: (−13, −16) Point on Circle: (−10, −16)

(x + 13)2 + (y + 16)2 = 9

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If a point (-5,4) is rotated 90 degrees clockwise, what are the new coordinates?

(4,5)

400

Write the center-radius form of the equation of a circle given the two endpoints of a diameter: (-4,6),(-6,18)

(x+5)2+(y-12)2=37

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x2+y2-2x+24y+120=0

(x-1)2+(y+12)2=25

400

(x-12)2+(y-9)2=100

Center (12, 9)

Radius 10

400

center (5, 9); point (2, 9)

(x−5)2+(y−9)2=9

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If a point (-5,4) is rotated 90 degrees counterclockwise, THEN reflected over y axis, what are the new coordinates?

(4,-5)

500

Write the center-radius form of the equation of a circle given the two endpoints of a diameter: (-3,-6),(-5,-2)

(x+4)2+(y+4)2=5

500

x2+y2-28x+10y+220=0

(x-14)2+(y-5)2=1

500

(x-7)2+(y+8)2=225

Center (7,-8)

Radius 15

500

center (-4, -3); point (2, 2)

(x+4)2+(y+3)2=61