Identify properties of a quadratic function
In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with.
For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram shows the main properties:
If k > 0, the vertex is a minimum turning point
If k < 0, the vertex is a maximum turning point
We can identify these properties from a quadratics graph or equation.
More guides on this topic
- Expansion of brackets
- Factorising an algebraic expression
- Completing the square in a quadratic expression
- Simplifying algebraic fractions
- Applying the four operations to algebraic fractions
- Determining the equation of a straight line
- Working with linear equations and inequations
- Working with simultaneous equations
- Changing the subject of a formula
- Determine the equation of a quadratic function from its graph
- Sketching a quadratic function
- Solving a quadratic equation
- Solving a quadratic equation using the quadratic formula
- Using the discriminant to determine the number of roots
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