How to write the transformations and graph a cube root function

The video tutorial explains vertical transformations of functions, focusing on vertical stretches and translations. It describes how multiplying a number outside a function affects the graph, leading to a vertical stretch if the absolute value is greater than one. The tutorial also covers vertical translations, specifically shifting the graph down when a negative number is involved. Finally, it instructs viewers to identify transformations, sketch graphs, and use graphing technology for verification.

What happens to a graph when a number with an absolute value greater than one is multiplied outside the function?

• It results in a horizontal compression.

• It results in a vertical stretch.

• It results in a horizontal stretch.

• It results in a vertical compression.

Which of the following is NOT a result of multiplying a number outside a function?

• Vertical stretch

• Vertical translation

• Vertical compression

• Horizontal stretch

If a constant is subtracted outside a function, what transformation occurs to the graph?

• The graph shifts to the left.

• The graph shifts downwards.

• The graph shifts upwards.

• The graph shifts to the right.

What is the effect of a negative constant outside a function on the graph?

• The graph shifts upwards.

• The graph reflects over the x-axis.

• The graph reflects over the y-axis.

• The graph shifts downwards.

What is the final step after identifying transformations and sketching the graph?

• Determine the x-intercepts of the graph.

• Find the y-intercepts of the graph.

• Calculate the slope of the graph.

• Use graphing technology to verify the transformations.