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What you need to know
What you need to know:
A quadratic graph is, naturally, any graph produced by a quadratic equation. The turning point of a quadratic graph is the point at which the line switches from being a downward slope to an upward slope. If the coefficient of the x^2 term is positive, as it normally is, then the turning point is also the minimum point – the lowest point that the graph reaches. On the contrary, if the coefficient of the x^2 term is negative, then the turning point is also the maximum point.
It is required that you:
- Understand the definition of the turning point;
- Can identify the location of a turning point on a graph;
- Determine the coordinates of the turning point by completing the square. This amounts to understanding that once you have completed the square on a quadratic, and the result you get is of the form (x + a)^2 + b, then the coordinates of the turning point are precisely (-a, b).
GCSE Maths tutors who are looking for exceptional resources for the specific topic of turning points for quadratic graphs can view and access many worksheets and online tests. These resources work really well as part of a tuition course where material is covered in lessons and worksheets for specific topics like quadratic graphs can be set for homework.
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