Transcription of Quadratic Functions-Worksheet - Math Seven
1 Quadratic Functions-Worksheet Find the vertex and a and then use to sketch the graph of each function. Find the intercepts, axis of symmetry, and range of each function. Remember the domain is ( , ). f (x ) x 4 1 f (x ) x 2 2. 2 2. 1. 8. f ( x ) x 3 1 9. f ( x ) x 2 2x 5. 2. 2. 1 10. f ( x ) x 2 2x 8. f ( x ) x 1 2. 2. 3. 2 11. f ( x ) x 2 4x 7. 1. x 3 1. 2. 4. f (x ) 12. f ( x ) 2x x 2 3. 2. 13. f ( x ) x 2 6x 3. f ( x ) x 2 3. 2. 5. 14. f ( x ) 2x 2 4 x 3. f (x ) 2 x 2 1. 2. 6. 15. f ( x ) 2x x 2 2. f ( x ) x 1 4. 2. 7. Quadratic functions worksheet --Answers 1. x-int(s): x 3, 5 ; y-int= 15 11 7. x-int(s): x 1, 3 ; y-int= 3. 4. x-int(s): NONE; y-int=. Axis: x 4 ; Range: [ 1, ) 2 Axis: x 1 ; Range: ( , 4]. Axis: x 3 ; Range: [1, ). 5 5. Vertex 4 (1,4). 4. 3. 3. 2. 2. 1. 1. -4 -3 -2 -1 1 2 3 4 5. -3 -2 -1 1 2 3 4 5 6 7 8 -1. -1. -2. Vertex -2 ( 4 , -1 ) -3. -3 -4. 2. x-int(s): x 2, 4 ; 8. x-int(s): x 2 2 ;. y-int= 8 Axis: x 3 ; 5.]
2 X-int(s): x 2 3 ; y-int= 2 ; Axis: x 2 ;. Range: ( , 1] Range: ( , 2]. y-int= 1 Axis: x 2 ;. 4. Range: [ 3, ) 5. 3 4. Vertex 6. ( -3 , 1 ) 3. 2 5. 4 2. 1 Vertex ( -2 , 2 ). 3 1. -6 -5 -4 -3 -2 -1 1 2 3 4 2. -6 -5 -4 -3 -2 -1 1 2 3. -1. 1 -1. -2. -6 -5 -4 -3 -2 -1 1 2 3 4 -2. -3 -1. Vertex -3. -2 ( -2 , -3 ). -4 -4. -3. 9. x-int(s): x 1 6. -4. 5. 3. x-int(s): NONE; y-int=. 2. 1 y-int= 5 ; Axis: x 1 ;. Axis: x 1 ; 6. x-int(s): x 2 ; Range: [ 6, ). Range: [2, ) 2. y-int=7; Axis: x 2 ; f ( x) ( x 1) 2 6. Range: [ 1, ). 2. 1. 5. -4 -3 -2 -1 1 2 3 4. 4. -1. 3 -2. 2 -3. -4 Vertex 1 ( -1 , -6 ). -5. -5 -4 -3 -2 -1 1 2 3 -6. -1 Vertex -7. ( -2 , -1 ). -2 -8. -3. Quadratic functions worksheet --Answers 10. x-int(s): none 12. x-int(s): x 1, 3 2 10. f ( x) ( x 1) 2 7 14. x-int(s): x . f ( x) ( x 1) 2 4 2. y-int= 8 ; Axis: x 1 ; y-int= 3 ; Axis: x 1 ; f ( x) 2( x 1) 5. 2. Range: ( , 7] Range: ( , 4] y-int= 3 ; Axis: x 1 ;. Range: [ 5, ).]
3 2 5. Vertex 4 4. (1,4). -4 -3 -2 -1 1 2 3 4. 3 3. -2. 2. 2. -4 1 1. Vertex -5 -4 -3 -2 -1 1 2 3 4 5. -6 ( -1 , -7 ) -5 -4 -3 -2 -1 1 2 3. -1 -1. -8 -2. -2. -3. -10 -3. Vertex -4 -4 ( -1 , -5 ). -12 -5. -5. -6. 11. x-int(s): x 2 11 13. x-int(s): x 3 6. f ( x) ( x 2) 2 11 f ( x) ( x 3) 2 6 15. x-int(s): NONE. y-int= 7 ; Axis: x 2 ; y-int= 3 ; Axis: x 3 ; f ( x) ( x 1) 2 1. Range: [ 11, ) Range: [ 6, ) y-int= 2 ; Axis: x 1 ;. Range: ( , 1]. 4. 2. 1 3. 3. -6 -5 -4 -3 -2 -1 1 2 3 2. -1 2 Vertex -2 1 ( 1 , -1 ). 1. -3. -4 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3. -1 -5 -4 -3 -2 -1 1 2 3 4 5. -5 -1. -6 -2. -7 -2. -3. -8 -3. -9 Vertex -4. Vertex -4. -10 ( -2 , -11 ) -5 ( -3 , -6 ). -11 -5. -6. -12 -6. -7.]
