Absolute Value Functions Transformations
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered
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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units
y = -|x + 2| - 7
y = |x - 2| - 7
y = -|x - 2| - 7
y = -|x - 2| + 7
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Describe the transformations of the absolute value equation.
Flips to A shape, compresses wider, shifts right 1 unit
Flips to A shape, compresses wider, shifts up 1 unit
Flips to A shape, stretches more narrow, shifts up 1 unit
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Describe the transformation that is applied to the parent function.
f(x) = IxI -5
Shifts left 5
Shifts right 5
Shifts up 5
Shifts down 5
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Does the following shift up or shift down from the parent function y = |x|?
y = |x| - 8
Shift up
Shift down
5.
MATCH QUESTION
1 min • 4 pts
State the RANGE of the absolute value function given the following transformations:
y = -|x - 2| - 7
y = |x + 2| + 7
y = |x - 2| - 7
y = -|x - 2| + 7
6.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
Which function is graphed?
f(x) = -|2x - 5| + 5
f(x) = -|x - 3| - 3
f(x) = -2|x + 3| + 5
f(x) = -2|x + 5| - 3
Tags
CCSS.HSF-IF.C.7D
7.
DROPDOWN QUESTION
1 min • 1 pt
The function g can be thought of as a translation (shifted) version of f(x)=|x|. Write an equation for g(x).
g(x)=|x (a) | (b)
+6
-2
-6
2
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