Transformations of Functions Answers

Determine the parent function.

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

Identify the graph.

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)?

Determine the parent function.

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

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.

Check all of the following you included in your answer.

Question text not available

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 equation of the function.

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?

Identify the equation of the function.

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

Question text not available

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

Identify the graph.