Precalc0103to0104-page20

Precalc0103to0104-page20 - a 2 y ± where a> is an upper...

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(Section 1.3: Basic Graphs and Symmetry) 1.3.20 PART O: UPPER SEMICIRCLES In Section 1.2, we saw that the graph of x 2 + y 2 = 9 y ± 0 () is the upper half of the circle of radius 3 centered at 0, 0 () . • Solving for y , we obtain: y = 9 ± x 2 . More generally, the graph of x 2 + y 2 =
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Unformatted text preview: a 2 y ± ( ) , where a > , is an upper semicircle of radius a . • Solving for y , we obtain: y = a 2 ± x 2 . Let f x ( ) = a 2 ± x 2 . f is an even function, so its upper semicircular graph below is symmetric about the y-axis ....
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