Transformations of Cube and Square Root Functions

The video tutorial covers graphing transformations of square and cube root functions. It explains how to shift, stretch, and reflect these graphs, detailing the effects of adding constants inside and outside the root. The tutorial also discusses domain and range changes due to transformations.

What is the effect of adding a constant outside the square root function on the graph?

• It shifts the graph horizontally.

• It stretches the graph vertically.

• It reflects the graph over the x-axis.

• It shifts the graph vertically.

How does a negative sign inside the square root function affect the graph?

• It reflects the graph over the y-axis.

• It shifts the graph to the left.

• It reflects the graph over the x-axis.

• It shifts the graph to the right.

What happens to a cube root graph when a constant is subtracted inside the function?

• The graph shrinks horizontally.

• The graph shifts to the left.

• The graph shifts to the right.

• The graph stretches vertically.

How does multiplying the output of a cube root function by a constant affect the graph?

• It shifts the graph vertically.

• It stretches the graph vertically.

• It reflects the graph over the y-axis.

• It shifts the graph horizontally.

What is the result of adding a constant inside the square root function?

• The graph shifts left.

• The graph shifts up.

• The graph shifts down.

• The graph shifts right.

How does a negative sign outside the square root function affect the graph?

• It shifts the graph to the left.

• It shifts the graph to the right.

• It reflects the graph over the x-axis.

• It reflects the graph over the y-axis.

What happens to the range of a square root graph when it is shifted down?

• The range starts at a higher value.

• The range starts at a lower value.

• The range becomes negative.

• The range remains the same.

What is the effect of a positive constant added outside the cube root function?

• The graph shifts up.

• The graph shifts down.

• The graph shifts right.

• The graph shifts left.

How does subtracting a constant inside the cube root function affect the graph?

• The graph shifts up.

• The graph shifts down.

• The graph shifts right.

• The graph shifts left.

What is the domain of a cube root function after transformation?

• Only positive numbers.

• Numbers greater than zero.

• Only negative numbers.

• All real numbers.