Graphing cube root function with reflection and horizontal shift

The video tutorial explains the concept of horizontal shifts in functions, emphasizing that subtracting inside the function results in a shift to the right. It highlights the importance of understanding that horizontal shifts work oppositely, meaning a minus sign indicates a rightward shift. The tutorial also covers reflecting graphs and suggests using graphing technology to visualize these changes.

What happens to the graph of a function when you subtract a value from inside the function?

• It shifts horizontally to the left.

• It shifts vertically upwards.

• It shifts horizontally to the right.

• It reflects over the x-axis.

If a function is modified by subtracting a value inside it, which direction does the graph shift?

• To the left

• To the right

• Upwards

• Downwards

What is the effect of a negative sign in a horizontal shift?

• It shifts the graph to the left.

• It reflects the graph over the x-axis.

• It shifts the graph to the right.

• It reflects the graph over the y-axis.

What additional transformation is discussed after the horizontal shift?

• Vertical stretching

• Graph rotation

• Horizontal compression

• Graph reflection

What tool is suggested for visualizing graph transformations?

• Text editor

• Spreadsheet software

• Graphing technology

• Calculator