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What's on the worksheet
- Say whether each function has a greatest or least value, where it occurs, and its range.f(x) = x^2 - 12x + 30g(x) = -5x^2 + 20x - 9p(x) = 2(x + 4)^2 - 9q(x) = -(x - 1)(x + 9)r(x) = 6 - x^2
- Find the range of two quadratics and decide which numbers are outputs of both.
- Find which parts of Mateo's statement about a minimum are wrong.
- Use the least value and two equal outputs to find where the minimum is and write the rule.
- Use a value and an average rate of change to find b and c, then the least value.
- Use a given range to decide if the graph meets the x-axis, and test two values.
- Mall power use: find the highest or lowest power from the quadratic model.
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The free lesson teaches it with worked examples and practice problems.
Maximum, minimum and range of a quadratic function: the lesson ›More Chapter 9 worksheets: Quadratic functions and their graphs
- 9.1What makes an expression quadratic
- 9.2The shape of a parabola
- 9.3The vertex and the axis of symmetry
- 9.4Graphing from standard form
- 9.5Roots, zeros and x-intercepts
- 9.6Intercepts and zeros of a function
- 9.7Increasing, decreasing, constant, positive and negative intervals
- 9.8Turning points, maximums and minimums
- 9.9Maximum, minimum and range of a quadratic function
- 9.10Quadratic functions in context