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Oct 22 Answer Key

ANSWERS TO WORKSHEET GIVEN 10/22/15

  1. Turns Downward             2. Turns Upward               3. Turns Downward

4. (2,5)                                          5. (3/8, -1)                           6. (2/3,6)

7. Wider than the parent function    8. Wider than the parent function

9. Narrower than the parent function

 

Transformation from parent function

Vertex

x-intercepts

y-intercept

10.

Vertical stretch by factor of 2

Shift left 1 unit

Shift down 4 units

(-1,-4)

(-3,0) and (1,0)

(0,-2)

11.

Reflection over the x-axis

Vertical stretch by a factor of 3

Shift right 3 units

Shift up 2 units

(3,2)

(11/3,0) and (7/3,0)

(0,-7)

12.

Vertical stretch by a factor of 5

Shift left 2 units

Shift down 4 units

(-2,4)

(-6/5,0) and (14/5,0)

(0,-6)

13.

Vertical compression by a factor of ½

Shift right 3 units

Shift up 1 unit

(3,1)

Does not exist

(0,5/2)

14.

Reflection over the x-axis

Vertical compression by a factor of 1/3

Shift left 2 units

Shift up 3 units

(-2,3)

(7,0) and (-11,0)

(0,7/3)

15.

Vertical stretch by a factor of 2

Shift right ½ unit

Shift up 3 units

(1/2,3)

Does not exist

(0,4)

16.

Reflection over the x-axis

Shift left 2/3 unit

Shift down 1 unit

(-2/3,-1)

Does not exist

(0,-5/3)

17.

Vertical stretch by a factor of 2.5

Shift right 1.3 units

Shift down 2.4 units

(1.3,-2.4)

(2.16,0) and (-8.3,0)

(0,0.85)

18.

Reflection over the x-axis

Vertical stretch by a factor of 1.8

Shift left 2.2 units

Shift up 1.6 units

(-2.2,1.6)

(-3.08,0) and (-1.4,0)

(0,-2.36)

 

19. y = 2|x|                                 20.  y = - |x - 3| +1                            21.  Y = ½ |x+2|                 22.  Y = 2|x+1| - 1

23.   y = -1/3  |x-2| + 6            24.  Y = -4 |x| +20                             25.  Y = |x| - 2                    26.  y = |x+2|                     

27.  Y = |x – 2|                            28.  Y = 2|x – 3 | + 1                          29.   y = -|x+2| + 3            30. Y = ½ |x+2| - 1

31. y = 2|x|                                 32. Y = 5|x – 4|                                  33.   Y = 2|x+4|+1              34. Y = 3|x|

35.  y = 4|x|+2                           36. Y = 3|x-3|+2                37. Y = 2|x+3|                    38.  Y = 2|x|- 3

39. y = 4|x+5|+1