18. ( ( ) ( 2 3)2 2 x x x = −1)2 − = − + 20. vertex: (1, vertex: (3, 2) –2) x-intercepts: x-intercepts: ( f ( ( 0 2 0 3)2 2 x x = −1)2 − f = − + ) ( ( x 2 3)2 x x −1)2 = − = −2 2 x −1 = ± 1 2 x = ± 3 2 x − = ±i y-intercept: 3 2 x i = ± (0) (0 2 = No f x-intercepts. = −1)2 − –1 The axis of symmetry is = 1. y-intercept: x (0) (0 3)2 2 11 f = − + = The axis of symmetry is = 3. x (−∞, (−∞, ∞) ∞) [2, [−2, range: range: ∞) ∞) ( 3)2 ( ) ( y x 2 −1 = − f x x = −1)2 + 19. vertex: (1, 2) ( 3)2 1 y x = − + x-intercepts: 21. vertex: (3, 1) ( 0 2 x x-intercepts: = −1)2 + ( x −1)2 = −2 x −1 = ± ( 0 3)2 1 x −2 = − + 1 x i = ± ( 2 3)2 x − = −1 3 = ±i No x-intercepts. – = 3 ±i x y-intercept: No x-intercepts. (0) (0 2 3 f = −1)2 + = 10 y-intercept: The axis of symmetry is = 1. x (0 3)2 10 y = − +1 = The axis of symmetry is = 3. x (−∞, domain: ∞) [2, range: ∞) (−∞, domain: ∞) [1, range: ∞) x
18. f ( x ) = ( x −1)2 − 2 vertex: (1, –2) x-intercepts: 0 = ( x −1)2 − 2 ( x −1)2 = 2 20. f ( x ) = ( x − 3)2 + 2 vertex: (3, 2) x-intercepts: 0 = ( x − 3)2 + 2 ( x − 3)2 = −2 x −1 = ± 2 x = 1 ± 2 y-intercept: f (0) = (0 −1)2 − 2 = –1 The axis of symmetry is x = 1. x − 3 = ±i 2 x = 3 ± i 2 No x-intercepts. y-intercept: f (0) = (0 − 3)2 + 2 = 11 The axis of symmetry is x = 3. 19. (−∞, ∞) range: [−2, ∞) f ( x ) = ( x −1)2 + 2 vertex: (1, 2) x-intercepts: 0 = ( x −1)2 + 2 ( x −1)2 = −2 21. (−∞, ∞) range: [2, ∞) y −1 = ( x − 3)2 y = ( x − 3)2 + 1 vertex: (3, 1) x-intercepts: x −1 = ± −2 0 = ( x − 3)2 + 1 x = 1 ± i 2 ( x − 3)2 = −1 No x-intercepts. y-intercept: f (0) = (0 −1)2 + 2 = 3 The axis of symmetry is x = 1. domain: (−∞, ∞) range: [2, ∞) x – 3 = ±i x = 3 ±i No x-intercepts. y-intercept: 10 y = (0 − 3)2 +1 = 10 The axis of symmetry is x = 3. domain: (−∞, ∞) range: [1, ∞)
Precalculus-Essentials-5th-Edition-Blitzer-Solutions-Manual.docx