Absolute Functions Notes

Which equation is the general equation for all the transformations of the absolute value function?

Find the range of the graph.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

When a > 1, the absolute value function undergoes a(n) ________.

• vertical shift up

• vertical stretch

• vertical shrink

• horizontal stretch

When 0 < a < 1, the absolute value function undergoes a(n) ________.

• vertical shift up

• vertical stretch

• vertical shrink

• vertical reflection

What kind of Function is f(x) = 5 + 3|x - 9|

• Linear

• Absolute Value

• Quadratic

• Exponential

• None of the above

Mathematical Equivalence

OFF

Tags

CCSS.HSF-IF.C.7D

Which equation represents an absolute value function with a vertex of (-5,-7)

Tags

CCSS.HSF-IF.C.7D

When "a" is negative, the absolute value function undergoes a(n) ________.

• vertical shift down

• vertical reflection over the y-axis

• vertical shrink

• vertical reflection over the x-axis

The equation for the parent absolute value function is _____.

Tags

CCSS.HSF-IF.C.7D

Which of the statements is false?

• Absolute value functions never open left or right.

• Each absolute value function has a vertex.

• Each absolute value function has an axis of symmetry whose equation starts with y = __.

• The domain for all absolute value functions is all real numbers.

Tags

CCSS.HSF-IF.C.7D