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Objective: Graph quadratic functions. Determine a quadratic function minimum or maximum value. Warm up Simplify a. b.

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Example 1 Graph the quadratic function. a.

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b.

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c.

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Problem 2 a.Does the function has minimum value or a maximum value? b.Find the min/max? a.Identify the domain and range of.

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Problem 3 An archers arrow follows a parabolic path. f(x): height of arrow (feet) x: horizontal distance (feet) a.What is the maximum height and how far from its release point does it occur? b. Find the horizontal distance before it hits the ground.

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c. Graph the function that models the arrows parabolic path.

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Example 4 A company manufactures and sells bath cabinets. p(x): daily profits x: cabinets sold per year. a.How many cabinets should be sold per day to maximize the companys profit? b.What is the maximum daily profit?

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Example 5 Among all pairs of numbers whose difference is 14. Find a pair whose product is as small as possible. What is the minimum product.

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Assignment: Pg 298 #10,16,18, 20,26,28,30; 39-44; 57-64.

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1.8 QUADRATIC FUNCTIONS A function f defined by a quadratic equation of the form y = ax 2 + bx + c or f(x) = ax 2 + bx + c where c 0, is a quadratic.

1.8 QUADRATIC FUNCTIONS A function f defined by a quadratic equation of the form y = ax 2 + bx + c or f(x) = ax 2 + bx + c where c 0, is a quadratic.

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