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Halg 2 ~ Unit 3~Day 5~Warm Up:
#1 Given: , identify the: a. Vertex b. Axis of symmetry c. Maximum/minimum value d. Domain e. Range #2 Write the equation for a parabola in vertex form if the vertex is (3, 4) and the y-intercept is 2. #3 When y = 0.5(x -3)2 +7 is written in standard form, what is the value of c?
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Warm-Up: Factor completely
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HOMEWORK ANSWERS Packet p. 5
2(z-3)2 (c3-12)(c+1) (5y-10)(5y+10) (x+k)(x+3) (a+d)(a-2) (x+5)(x-5) (x-10)(x-8) (x2+1)(5y-1) 3(y-3)(y-2) (a2+b2)(a-b) x2(x-7)(x-8) (k-4)2 Review: a=-6 2) a=1 3) a=3 b= b= b= -12 Part B: 1) 2 secs; 64 feet
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Homework Packet p. 6 and 7 If you need help come to tutorial! Monday & Thursday 1st half of lunch OR Wednesday after school! Your next quiz is on Monday!
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Are you Ready? -Review
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5.5 Solving Quadratics by Graphing
Example: Solve x2 – 5x + 2 = 0 1. Graph in your calculator. 2. Use the CALC feature to find the two zeros of the function.
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You try:
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Applications: Solve by graphing
1. A woman drops a front door key to her husband from their apartment window several stories above the ground. The function gives the height h of the key in feet, t seconds after she releases it. a. How long does it take the key to reach the ground? b. What are the reasonable domain and range for the function h?
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2. You use a rectangular piece of cardboard measuring 20 in. by 30 in
2. You use a rectangular piece of cardboard measuring 20 in. by 30 in. to construct a box. You cut squares with sides x in. from each corner of the piece of cardboard and then fold up the sides to form the bottom. a. Write a function A representing the area of the base of the box in terms of x. b. What is a reasonable domain for the function A? c. Write an equation if the area of the base must be 416 in.2. d. Solve the equation in part© for values of x in the reasonable domain. e. What are the dimensions of the base of the box?
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