GCSE Maths - What are Quadratic Graphs? #76

The video tutorial explains quadratic graphs, highlighting their smooth curved shape and symmetry. It discusses how the sign of the x squared term affects the graph's orientation, with positive terms creating upward curves and negative terms creating downward curves. Basic quadratic graphs like y = x^2 and y = -x^2 are introduced, showing their axis crossing at the origin. The tutorial also covers how altering the equation changes the graph's shape, such as making it narrower or shifting its position.

What is the defining characteristic of quadratic equations in terms of their terms?

Describe the shape of a quadratic graph and its line of symmetry.

How does the sign of the x squared term affect the direction of the curve in a quadratic graph?

What happens to the graph of y equals x squared when you change it to y equals 2x squared?

Explain how changing the coefficients in a quadratic equation affects the graph's shape.