Parent Functions Linear and Absolute

Which parent function matches the graph?

What shifts have occurred?

• left 1, up 5

• left 1, down 5

• right 1, down 5

• right 1, up 5

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

• 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, shrunk by 2, right 3, up 3

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

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

• Linear

• Absolute Value

• Quadratic

• Exponential

• None of the above

Which of the following is not true of the parent function f (x) = |x|?

• The function has even symmetry.

• The function has no intercepts.

How can you write an absolute value equation so that the vertex will be at ( -5 , -7 )?

Tags

CCSS.HSF-IF.C.7D

Match the following functions with their types.

• f(x) = 2^x

• Quadratic

• f(x) = x^2 + 4x + 4

• Absolute Value

• f(x) = 2x + 3

• Linear

• f(x) = 5 + 3|x - 9|

• Exponential

Tags

CCSS.HSF-IF.C.7D

What type of function is shown?

• absolute value

• quadratic

• linear

• exponential