Transformations of Functions Answers

Determine the parent function.

Identify the equation of the function.

y = (x – 4)³ – 2✔ y = (x + 4)³ – 2y = (x + 2)³ – 4y = (x – 2)³ – 4

The parent function f(x) = √x has been shifted [___] 1 unit and [___] 5 units.

Identify the graph.

g(x) is reflected about the y-axis. g(x) is reflected about the y-axis and shifted up by 4 units. g(x) is reflected about the x-axis. g(x) is reflected about the x-axis and shifted up by 4 units.

What transformation(s) have been applied to function f(x) to get g(x)? Check all that apply.

Which of the following is a vertical stretch of the parent function ?

Given the parent function , which of the following is true about this graph?

Look at the graph of the functions. Given the original function, , what is a possible equation for the translated function, g(x)?

Identify the graph.

Describe the transformation f(x) = √x + 1 − 5 in words.

The parent function f(x) = √x has been shifted [___] 1 unit and [___] 5 units.

Which of the following is a horizontal stretch of the same parent function?