Cube Root Functions and Equations

This video tutorial covers how to write cube root functions or equations from word problems and graphs. It begins with a review of cube root functions, followed by three examples. The first example involves solving a word problem by determining the locator point and solving for 'a'. The second example uses a graph to find the vertex and point to determine the equation. The third example involves tracing a graph to find points and the vertex to solve the equation. Each example is broken down into steps, emphasizing the importance of labeling points and simplifying equations.

What is the main focus of the video tutorial?

• Exploring exponential growth

• Solving quadratic equations

• Learning about linear functions

• Understanding cube root functions

What is the parent graph of a cube root function?

• A linear graph

• A cubic graph

• A cube root graph

• A quadratic graph

In the first example, what is the vertex of the cube root graph?

• (8, 5)

• (0, 0)

• (-8, -5)

• (117, 0)

What is the first step in solving the word problem in Example 1?

• Determine the locator point

• Find the slope

• Solve for y

• Graph the function

In Example 1, what is the value of 'a' after solving the equation?

• 1

• 0

• 5

• 125

What is the final equation derived in Example 1?

• y = cube root of x - 8 - 5

• y = cube root of x + 8 + 5

• y = cube root of x + 8 - 5

• y = cube root of x - 8 + 5

In Example 2, what is the first step when given a graph?

• Find the slope

• Determine the locator point

• Calculate the y-intercept

• Solve for x

What is the value of 'a' in Example 2 after solving the equation?

• -3/2

• 0

• 3/2

• 1

What is the final equation derived in Example 2?

• y = 3/2 cube root of x - 2

• y = -3/2 cube root of x - 2

• y = -3/2 cube root of x + 2

• y = 3/2 cube root of x + 2

In Example 3, what is the vertex of the graph?

• (0, 0)

• (9, 7)

• (2, 1)

• (1, 2)