For HELPCLICK "only"_Forum_C
Section 2.3
Circles
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
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
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
(
)
(
)
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