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