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

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

Example 1 Graph the quadratic function. a.

b.

c.

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.

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.

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

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?

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.

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