Graphing Cube Root Functions

This video tutorial covers graphing cube root functions, starting with an introduction to the parent function, the cube root of x. It explains how to identify easy x-values for cube roots and demonstrates plotting these points to form a curve. The tutorial then discusses transformations, such as horizontal and vertical shifts, and how they affect the graph. Finally, it provides an example of graphing a transformed cube root function, specifically y = the cube root of x + 5, and identifies the correct graph from multiple choices.

What is the parent function discussed in the video for graphing cube root functions?

• y = sqrt(x)

• y = x^3

• y = x^(1/3)

• y = 1/x

What is the cube root of 8?

• 4

• 8

• 2

• 3

What is the cube root of -1?

• 0

• 1

• -1

• -2

Which point does the parent function y = x^(1/3) pass through?

• (0,1)

• (0,0)

• (1,1)

• (1,0)

How does the graph of the parent function y = x^(1/3) appear?

• Like a straight line

• Like a parabola

• Like a wave from low to high

• Like an exponential growth

What effect does adding a number inside the cube root (under the radical) have on the graph?

• Moves it left

• Moves it right

• Moves it up

• Moves it down

What does a minus sign under the radical in the cube root function indicate for the graph's movement?

• Moves left

• Moves down

• Moves up

• Moves right

In the transformation y = cube root of (x - H), what does H represent?

• Vertical shift up by H units

• Vertical shift down by H units

• Horizontal shift left by H units

• Horizontal shift right by H units

What is the result of the transformation y = cube root of (x + 5)?

• Shift up by 5 units

• Shift left by 5 units

• Shift down by 5 units

• Shift right by 5 units

Which graph would represent y = cube root of x + 5?

• Graph B

• Graph D

• Graph A

• Graph C