GCSE Secondary Maths Age 13-17 - Graphs: Quadratic Graphs - Explained

The video tutorial explains how to solve a quadratic equation by completing a table of values, plotting the graph, and using the graph to find solutions. It covers calculating Y values for given X values, plotting these on a graph, and using the graph to estimate solutions for the equation. The tutorial emphasizes the importance of symmetry in quadratic graphs and provides tips for accurate plotting.

What is the correct Y value when X is 0 for the equation y = X^2 - X - 6?

• 6

• -6

• -9

• 0

When calculating Y for X = -3, why is it important to use brackets?

• To ensure the negative sign is squared

• To make the calculation easier

• To avoid using a calculator

• To simplify the equation

What is the Y value when X is 3 for the equation y = X^2 - X - 6?

• -4

• -6

• 6

• 0

Why is symmetry important when checking the table of values for a quadratic equation?

• It is not important

• It helps in finding the vertex

• It simplifies the calculations

• It ensures the table is correct

What is the first step in plotting the graph of y = X^2 - X - 6?

• Draw a straight line

• Plot the points from the table

• Calculate new Y values

• Use a ruler to connect points

What should you use to join the plotted points on the graph?

• Straight lines

• A smooth curve

• A ruler

• A dotted line

How do you find the X values where the graph intersects Y = -2?

• By drawing a vertical line

• By estimating visually

• By using a calculator

• By drawing a horizontal line at Y = -2