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Halg 2 ~ Unit 3~Day 5~Warm Up: 2 1 #1 Given: y 5( x 4 ) 2 , 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? Warm-Up: Factor completely 1. 6x - 36x 2 2. 16x - 9 2 3. 18x + 9x -14 2 4. 3x -17x +10 2 5. 6x +15x + 9 2 HOMEWORK ANSWERS Packet p. 5 1. (x-10)(x-8) 2. (x2+1)(5y-1) 3. 3(y-3)(y-2) 4. (a2+b2)(a-b) 5. x2(x-7)(x-8) 6. (k-4)2 Review: 1) a=-6 b=-24 2) a=1 b= 2 7. 2(z-3)2 8. (c3-12)(c+1) 9. (5y-10)(5y+10) 10.(x+k)(x+3) 11.(a+d)(a-2) 12.(x+5)(x-5) 2 3) a=3 4)a 9 b= -12 b 4 3 Part B: 1) 2 secs; 64 feet 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! Are you Ready? -Review 1. x 3 x 18 2 2. 2x 9 x 12 2 3. x 49 x 3 4. G iven the follow ing equations answ er the follow ing questions. x 2x 1 2 a. W hat is the vertex? b. Is it a m ax or m in? c. W hat is the aos? d. W rite in vertex form ? 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. You try: 2 a. x + 6x + 4 = 0 2 b. 3x + 5x -12 = 8 Applications: Solve by graphing 1. A woman drops a front door2 key to her h 16twindow 6 4 several husband from their apartment 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? 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?