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ref_3.ppt

Section 2.3

Circles

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Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Write the standard form of the equation of the circle with radius 4 and center (2, –4).

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

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Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

Copyright © 2013 Pearson Education, Inc. All rights reserved

(

)

(

)

22

2416

xy

-++=

(

)

(

)

22

Graph the equation: 419

xy

-++=

(

)

(

)

22

2

(

41

)

3

xy

-

+-=

-

(

)

(

)

22

2

hr

xy

k

+-=

-

(

)

Center: 4,1 Radius: 3

-

(

)

4,1

-

(

)

(

)

22

For the circle 419, find the intercepts

,

if any, of its graph.

xy

-++=

(

)

(

)

22

-intercepts:

0

4

19

xx

++=

-

(

)

2

8

4

x

-

=

82

4

2

x

-

=±=±

422

x

6.83 and 1.17

xx

»»

-intercepts: We can see looking at the

graph that there are no

-intercepts. If we attempted to find th

em we'd get no real solutions.

y

y

(

)

422,0

-

(

)

422,0

+

22

Graph the equation: 8450

xyxy

+-+-=

22

8__4__5____

xxyy

-++++=++

22

16464

84

1

5

xxyy

-++++=++

(

)

(

)

22

4225

xy

-++=

(

)

Center: 4,2 Radius: 5

-

(

)

4,2

-











x

y











x

y





















x

y