Cube Root and Square Root Functions

The video tutorial covers graphing square root and cube root functions. It begins with an introduction to square root functions, highlighting key points like 0, 1, 4, and 9 for easy graphing. The tutorial then demonstrates how to graph more complex square root functions using these key points. An example of graphing the square root of negative x plus 1 is provided. The video transitions to cube root functions, explaining key points such as -8, -1, 0, 1, and 8. It concludes with graphing more complex cube root functions, emphasizing the use of key points for quick graphing.

What are the key points to remember when graphing square root functions?

• 0, 1, 4, 9

• 1, 2, 3, 4

• 2, 4, 6, 8

• 3, 6, 9, 12

How does the basic square root graph look?

• Like a full parabola

• Like a circle

• Like half a parabola

• Like a line

What is the domain of the basic square root graph?

• X is greater than or equal to 0

• X is greater than or equal to 1

• X is less than or equal to 0

• X is less than or equal to 1

In the function y = √(-x + 1), what transformation occurs?

• Reflection over the x-axis

• Reflection over the y-axis

• Vertical stretch

• Horizontal stretch

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

• Reflects over the x-axis

• Reflects over the y-axis

• Compresses horizontally

• Stretches vertically

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

• Vertical shift

• No effect

• Reflection

• Horizontal shift

In the function y = √(x - 1) + 3, what is the range?

• Y is greater than or equal to 3

• Y is less than or equal to 1

• Y is less than or equal to 3

• Y is greater than or equal to 1

What is the effect of a coefficient greater than 1 inside the square root function?

• Vertical stretch

• Vertical compression

• Horizontal stretch

• Horizontal compression

What happens to the graph of a square root function when multiplied by a positive constant?

• It reflects over the x-axis

• It reflects over the y-axis

• It stretches vertically

• It compresses horizontally

What is the effect of subtracting a constant inside the square root function?

• Horizontal shift left

• Vertical shift down

• Vertical shift up

• Horizontal shift right