Exploring Absolute Value Transformations

Why is the transformation of functions considered an important concept in Algebra 2?

• It is not applicable to real-world problems.

• It is a concept that is rarely used.

• It is only used in Algebra 2.

• It helps in understanding the behavior of different functions.

What is the parent function of the given absolute value function?

• f(x) = x^3

• f(x) = 1/x

• f(x) = |x|

• f(x) = x^2

What transformation is represented by the 'minus 3' inside the absolute value?

• Up 3

• Right 3

• Down 3

• Left 3

How do you determine the vertex of the function from the equation?

• By looking at the coefficients of x.

• By identifying the values inside and outside the absolute value.

• By graphing the function directly.

• By solving the equation for x.

What is the vertex of the function given in the tutorial?

• (-3, -2)

• (3, -2)

• (-3, 2)

• (3, 2)

What does the axis of symmetry represent in the graph of the function?

• The highest point of the graph.

• The line that divides the graph into two symmetrical halves.

• The slope of the graph.

• The lowest point of the graph.

What is the equation of the axis of symmetry for the given function?

• x = 2

• y = 2

• y = 3

• x = 3

What type of transformation is indicated by the '1/3' coefficient in front of the absolute value?

• Translation

• Compression

• Stretch

• Reflection

How does the '1/3' coefficient affect the graph of the function?

• It reflects the graph over the x-axis.

• It compresses the graph vertically.

• It compresses the graph horizontally.

• It stretches the graph vertically.

What is the purpose of using a calculator in the verification process?

• To check the accuracy of the transformations.

• To find the exact values of the function.

• To solve the function for different values of x.

• To graph the function more quickly.