GCSE Maths - What are Cubic Graphs & How to Plot Them #78

The video tutorial explains cubic graphs, highlighting their unique 'wiggle' and the necessity of an X^3 term in their equations. It discusses how the sign of the X^3 term affects the graph's direction and provides a step-by-step guide to plotting cubic graphs using a table of X and Y values. The tutorial emphasizes the importance of a smooth curve when connecting plotted points.

What is a key feature of a cubic graph's equation?

• It must have an X^2 term.

• It must have an X^3 term.

• It must have an X^4 term.

• It must have no constant term.

Which of the following is NOT a cubic equation?

• y = X^3 + 2X^2 - 3X + 4

• y = X^2 + 2X + 1

• y = X^3 - 5

• y = 2X^3 + X

How can you determine the direction of a cubic graph?

• By the sign of the X^2 term

• By the number of terms in the equation

• By the sign of the constant term

• By the sign of the X^3 term

What is the first step in plotting a cubic graph?

• Identifying the X^3 term

• Determining the graph's direction

• Completing a table of X and Y values

• Drawing a smooth curve

Why is it important to draw a smooth curve when plotting a cubic graph?

• To ensure the graph is linear

• To accurately represent the graph's shape

• To make the graph easier to read

• To highlight the X^3 term