Solving quadratic equations graphically
Quadratic graphs are useful because they let us see the solutions to an equation. When a quadratic equation is equal to 0, the solutions are the points where the curve crosses the x-axis. These are called the roots or x-intercepts.
On this worksheet, use the graphs to estimate the two x-values that solve each equation. Your answers do not need to be perfect, but they should be sensible estimates from the graph. Jump to the questions
Practise now
Use each graph to estimate the x-values where the curve meets the required y-value. If the equation equals 0, look for where the curve crosses the x-axis. If the equation equals another number, look across from that y-value and read the matching x-values.
Estimates are acceptable and answers may be entered in either order.