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- 1. Multiple Choice
What is the equation of the absolute value function?f(x)= |x+4|f(x)= |x-4|f(x)= |x| + 4f(x)= |x| - 4 - 2. Multiple ChoiceWhat is the equation of the graph below?f(x) = I x + 2 If(x) = I x + 2 I +2f(x) = I x - 2 I +2f(x) = I x - 2 I
- 3. Multiple ChoiceWhat is the equation of the graph below?f(x) = - I x + 2 If(x) = - I x - 2 If(x) = I x + 2 If(x) = I x - 2 I
- 4. Multiple ChoiceDescribe the transformation of the equation below from the parent function of y = IxI
y = I x + 2 I - 5Left 2 up 5Right 2 up 5Left 2 down 5Right 2 down 5 - 5. Multiple ChoiceWhat is the equation of the graph below?f(x ) = I x + 4 I + 2f(x ) = -I x - 4 I + 2f(x ) = I x - 4 I + 2f(x ) = -I x + 4 I + 2
- 6. Multiple ChoiceWhat shifts have occurred?left 1, up 5left 1, down 5right 1, down 5right 1, up 5
- 7. Multiple ChoiceWhat is the equation of the graph below?f(x) = I x I -1f(x) = I x I +1f(x) = - I x I -1f(x) = -I x I +1
- 8. Multiple ChoiceWhich of the following describes the horizontal and vertical translations of the following functions:
f(x) = |x + 4| - 9Left 4
up 9Left 4
Down 9Right 4
up 9Right 4
Down 9 - 9. Multiple ChoiceDescribe the transformation from the Absolute Value Parent Function.Stretches more narrow, shifts up 4 unitsStretches more narrow, shifts down 4 unitsCompresses wider, shifts up 4 unitsCompresses wider, shifts down 4 units
- 10. Multiple ChoiceDescribe the transformations of the absolute value equation.Flips to A shape, compresses wider, shifts right 1 unitFlips to A shape, compresses wider, shifts up 1 unitFlips to A shape, stretches more narrow, shifts right 1 unitFlips to A shape, stretches more narrow, shifts up 1 unit
- 11. Multiple ChoiceWhat is the range of the absolute value function?(-infinity, infinity)[3, infinity)[0, infinity)(-infinity, 3]
- 12. Multiple Choicex = 7 or x = -7x = 7 or x = -13x = 7 or x = 13x = 7
- 13. Multiple Choicex = -1 or x = 5x = 1 or x = -1x = -5 or x = 1No Solutions
- 14. Multiple ChoiceWrite an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 unitsf(x) = |2x + 1| - 9f(x) = |2x - 1| - 9f(x) = 2|x + 1| - 9f(x) = 2|x - 1| - 9 - 15. Multiple ChoiceWrite an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 unitsy = -|x + 2| - 7y = |x - 2| - 7y = -|x - 2| - 7y = -|x - 2| + 7 - 16. Multiple ChoiceWhat is the equation of the graph below? You can click the picture to zoom in!y = - | x + 2| + 4y = - | x - 2| + 4y = | x - 2 | + 4y = | x - 2| - 4
- 17. Multiple ChoiceWhat is the vertex of the following function?
y= -4|x+2|+5(-4,2)(-2,5)(-4,-2)(2,5) - 18. Multiple ChoiceWhat is the vertex of the following function?
y= 4|x|+1(0,1)(4,1)(-4,1)(4,-1) - 19. Multiple ChoiceUse Narrow, Wide, or Same to compare the width of this graph to its parent function.
y = 5/2 |x - 1|+ 2NarrowWideSame - 20. Multiple ChoiceWhich function is graphed?f(x) = -3|x - 1| + 4f(x) = -|x - 1| + 4f(x) = -5|x + 1| + 4f(x) = -3|x - 4| + 1
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