Transformations of Functions and Parameters

This lesson covers transformations of power functions, focusing on the parameters a, k, d, and c. It uses Desmos for visualization and provides a detailed investigation of how these parameters affect the graph. The lesson includes examples of describing transformations from equations, graphing transformed functions, and determining equations from graphs.

What is the primary focus of lesson four on transformations?

• Transformations of linear functions

• Transformations of power functions

• Transformations of exponential functions

• Transformations of logarithmic functions

What does the parameter 'a' do when it is negative?

• Vertical stretch

• Horizontal stretch

• Vertical reflection

• Horizontal reflection

How does a positive 'k' value greater than one affect a function?

• Horizontal compression

• Vertical stretch

• Vertical compression

• Horizontal stretch

What happens to a function when the parameter 'd' is negative?

• Shifts down

• Shifts right

• Shifts up

• Shifts left

What is the effect of adding a positive 'c' to a function?

• Shifts the graph down

• Compresses the graph vertically

• Shifts the graph up

• Stretches the graph horizontally

How does a positive 'd' value affect the graph of a function?

• Compresses the graph horizontally

• Stretches the graph vertically

• Shifts the graph right

• Shifts the graph left

What does a negative 'a' value do to a function?

• Causes a vertical stretch

• Causes a horizontal stretch

• Causes a vertical reflection

• Causes a horizontal reflection

What is the effect of a 'k' value between -1 and 1?

• Vertical compression

• Horizontal stretch

• Vertical stretch

• Horizontal compression

What happens to the graph when 'c' is negative?

• Shifts the graph up

• Shifts the graph down

• Stretches the graph horizontally

• Compresses the graph vertically

How do you describe the transformation of a function with a positive 'a' greater than 1?

• Vertical stretch

• Vertical compression

• Horizontal stretch

• Horizontal compression