Understanding Cubic Graphs and Equations

This video tutorial explores cubic graphs, explaining their unique characteristics, such as the presence of an x cubed term in their equations. It discusses how to identify the orientation of these graphs based on the sign of the x cubed term and provides a step-by-step guide on plotting cubic graphs using a table of x and y values. The tutorial concludes with a summary and a call to action for viewers to like and subscribe.

What is a characteristic feature of cubic graphs?

• They have a wiggle in the middle.

• They are always horizontal.

• They are always straight lines.

• They form a perfect circle.

Why are these graphs called cubic?

• Because they are shaped like a cube.

• Because they contain an x cubed term.

• Because they have three terms.

• Because they have a square term.

Which of the following is a simple cubic equation?

• y = x^4 - 2x^3 + 1

• y = x^3

• y = x^2 + 2x + 1

• y = 2x + 3

What is the general form of a cubic equation?

• a is any number, b, c, d are zero

• a, b, c, d are all zero

• a = 0, b, c, d are any numbers

• a is any number other than zero, b, c, d can be any number

What is the significance of the x cubed term in cubic equations?

• It determines the color of the graph

• It is optional in cubic equations

• It defines the cubic nature of the equation

• It is always negative

How can you determine the direction of a cubic graph?

• By the sign of the x squared term

• By the sign of the x cubed term

• By the constant term

• By the number of terms

What happens to a cubic graph if the x cubed term is positive?

• It goes from bottom left to top right.

• It forms a circle.

• It goes from top left to bottom right.

• It remains horizontal.

What is the first step in plotting cubic graphs?

• Drawing the graph directly

• Guessing the shape

• Completing a table of x and y values

• Using a calculator

What is the example equation used in the video?

• y = x^2 + x - 2

• y = x^3 + x - 2

• y = x^4 - x + 2

• y = x^3 - x + 2

What is the y value when x is -2 for the example equation?

• -14

• -12

• -10

• -8