Heres a simple starter when looking at solving Quadratics: Students in year 10 are looking at Quadratic Graphs. They had a tricky question which relied on their understanding of y-intercepts, x-intercepts and turning points. They also needed to understand that a quadratic graph has symmetry and you can find all the above using the graph or the equation.

In the problem the students have to match the equations with the graph. Students get the chance to see the difference between y = (x – 2)(x – 4) and y = -(x – 2)(x – 4)

Students can also see at which x value the line of symmetry lies and the turning point is The second problem requires students to identify the x-intercepts from each equation and the distance between these intercepts. The following slides work through a problem similar to the students met on a test but begins with a simplified model and builds up to a more challenging one.
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