section 1.4 circles

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Section 1.4

Circles

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

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

2 22 4 16x y

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

2 2Graph the equation: 4 1 9x y

2 2 2(4 1) 3x y

2 2 2h rx y k

Center: 4, 1 Radius: 3

x

y

4, 1

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

2 2For the circle 4 1 9, find the intercepts,

if any, of its graph.

x y

2 2-intercepts: 0 4 1 9x x

2 84x 8 24 2x

4 2 2x 6.83 and 1.17x x

-intercepts: We can see looking at the graph that there are no-intercepts. If we attempted to find them we'd get no real solutions.yy

x

y

4, 1

4 2 2,0 4 2 2,0

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

2 2Graph the equation: 8 4 5 0x y x y

2 28 __ 4 __ 5 __ __x x y y

2 216 4 6 48 4 15x x y y

2 24 2 25x y

Center: 4, 2 Radius: 5

x

y

4, 2

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.