Solving Absolute Value Inequalities and Understanding Transformations

The average temperature in Las Vegas in July is 110 degrees.  If the temperature can vary up to 10 degrees, which equation represents this situation?

• | x - 10 | < 110

• | 110 - x | < 10

• | x - 110 | < 10

• | 10 - x | < 110

Tags

CCSS.HSA.CED.A.3

• Left 4

• Right 4

• Up 4

• Down 4

Choose the equation that best matches the graphed function.

Tags

CCSS.HSF-IF.C.7D

Write an absolute value function given the following transformations from the parent function: Reflection across the x-axis horizontal shift right 2 units vertical shift down 7 units

• Left 2, up 4

• Right 2, up 4

• Left 2, down 4

• Right 2, down 4

The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

f(x) = −|x+4|

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7D

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

• reflected over x axis, stretched by 2, right 3, up 3

• reflected over x axis, stretched by 2, left 3 up 3.

• reflected over x axis, compress by 2, right 3, up 3

• reflected over the x axis, compress by 2, left 3, up 3

Describe the transformations of the absolute value equation.

• Reflects over x-axis, compresses wider, shifts right 1 unit

• Reflects over x-axis, compresses wider, shifts up 1 unit

• Reflects over x-axis, stretches more narrow, shifts right 1 unit

• Reflects over x-axis, stretches more narrow, shifts up 1 unit

Choose the graph that matched the equation.
y = |x - 1|

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Tags

CCSS.HSF-IF.C.7D