Plotting a quadratic graph

Building a table of values, then drawing a smooth curve through the points.

The shape and symmetry of a parabola

Why a quadratic graph is a symmetric curve with one turning point.

Roots and intercepts on a quadratic graph

Reading roots off the x-axis and the intercept off the y-axis.

Turning points on a quadratic graph

Reading the minimum or maximum off the graph, halfway between the roots.

Sketching a quadratic from factorised form

Marking roots from the brackets and the intercept from the constant.

The turning point by completing the square

Reading the turning point (−p, q) from (x + p)² + q, signs included.

Higher

Practice

Roots and intercepts on a quadratic graph

Reading roots off the x-axis and the intercept off the y-axis.

Practice

Turning points on a quadratic graph

Reading the minimum or maximum off the graph, halfway between the roots.

Practice

Quadratic graphs review

Roots, intercepts and turning points read from a quadratic’s equation.

Mixed review