Further Graphs and Tangents

Describe the shapes of the linear, quadratic and reciprocal families.

• Linear, y = m$x$ + c: a straight line.
• Quadratic, y = a$x$² + b$x$ + c: a single u-shape or n-shape with one turning point.
• Reciprocal, y = a ÷ $x$: two separate branches that never meet the axes.