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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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Presentation on theme: "Objective: Graph quadratic functions. Determine a quadratic function minimum or maximum value. Warm up Simplify a. b."— Presentation transcript:

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

2 Example 1 Graph the quadratic function. a.

3 b.

4 c.

5 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.

6 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.

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

8 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?

9 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.

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


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