13_Cal_Solution of Calculus_6e

13_Cal_Solution of Calculus_6e - C01S02.017 y = x − 3 2...

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Unformatted text preview: C01S02.017: y = ( x − 3) 2 : Opens upward, vertex at (3 , 0). C01S02.018: y − 16 = − x 2 : Opens downward, vertex at (0 , 16). C01S02.019: y − 3 = ( x + 1) 2 : Opens upward, vertex at ( − 1 , 3). C01S02.020: 2 y = x 2 − 4 x + 4 + 4: y − 2 = 1 2 ( x − 2) 2 . Opens upward, vertex at (2 , 2). C01S02.021: y = 5( x 2 + 4 x + 4) + 3 = 5( x + 2) 2 + 3: Opens upward, vertex at ( − 2 , 3). C01S02.022: y = − ( x 2 − x ) = − ( x 2 − x + 1 4 ) + 1 4 : y − 1 4 = − ( x − 1 2 ) 2 . Opens downward, vertex at ( 1 2 , 1 4 ). C01S02.023: x 2 − 6 x + 9 + y 2 + 8 y + 16 = 25: ( x − 3) 2 + ( y + 4) 2 = 5 5 . Circle, center (3 , − 4), radius 5. C01S02.024: ( x − 1) 2 + ( y + 1) 2 = 0: The graph consists of the single point (1 , − 1). C01S02.025: ( x + 1) 2 + ( y + 3) 2 = − 10: There are no points on the graph. C01S02.026: x 2 + y 2 − x + 3 y + 2 . 5 = 0: x 2 − x + 0 . 25 + y 2 + 3 y + 2 . 25 = 0: ( x − . 5) 2 + ( y + 1 . 5) 2 = 0....
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