GCSE Maths Quadratic and Other Graphs: lesson and practice questions

By the end of this chapter you will be able to

• Complete a table of values and plot a quadratic graph as a smooth curve
• Find the roots, y-intercept, line of symmetry and turning point of a quadratic from its graph
• Solve equations by reading a graph, including by drawing a line on the same grid
• Recognise and draw cubic and reciprocal graphs, and match a graph to its equation
• Read and use real-life curved graphs
• Draw, read and interpret distance-time and speed-time graphs

You should already know

• Substituting numbers into a rule, including negative numbers (Chapter 8)
• Plotting a straight-line graph from a table of values (Chapter 12)
• Squares, cubes and square roots (Chapter 2)
• Speed = distance ÷ time (more in Chapter 16)

Where this leads

• Solving quadratic equations by factorising and the formula (Chapter 14)
• Simultaneous equations solved by graphs (Chapter 14)
• Compound measures and proportion graphs (Chapter 16)
• Gradients of curves, areas under graphs and transformations of graphs (Chapter 25)