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 a key feature of quadratic equations that distinguishes them from other polynomial equations?

• They have no x terms.

• They have an x cubed term.

• They have an x squared term.

• They have a constant term.

What is the shape of a quadratic graph?

• A smooth curve

• A sharp angle

• A zigzag pattern

• A straight line

How does the sign of the x squared term affect the orientation of a quadratic graph?

• The sign of the x squared term has no effect on the graph's orientation.

• A negative x squared term makes the graph face upwards.

• A positive x squared term makes the graph face downwards.

• A positive x squared term makes the graph face upwards.

What happens to the graph of y = x squared when the equation is changed to y = 2x squared?

• The graph becomes wider.

• The graph becomes narrower.

• The graph shifts to the left.

• The graph shifts upwards.

If the equation y = 2x squared is modified to y = 2x squared - 5x - 3, what is the effect on the graph?

• The graph becomes wider.

• The graph moves downwards and to the right.

• The graph becomes narrower.

• The graph moves upwards and to the left.