Characteristics of Quadratic Functions

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Presentation transcript:

Characteristics of Quadratic Functions Unit 2 Day 6 Characteristics of Quadratic Functions

Warm Up Company A has a min of (56, 16). 1.) Jenna is trying to invest money into the stock exchange. After some research, she has narrowed it down to two companies. Company A shows a portfolio value of v(t) = 800 – 28t + .25t2, and Company B shows a portfolio value of v(t) = 700 – 65t + .3t2, where v is the value of the portfolio in hundreds of dollars and t is the time in months. Which company will allow her the peace of mind of having the higher value, even if the stock prices drop to their lowest? 2.) Using the following quadratic, find zeros, y-intercept, vertex, and one other point and sketch the graph. y = x2 + 4x - 5 Company A has a min of (56, 16). Company B has a min of (108, -2820). So Jenna should choose Company A because it has the higher min value of 16. zeros: (1,0) (-5,0) y-int: (0,-5) vertex: (-2,-9)

Homework Answers Brooklyn: 700 ft, Verrazano: 1000 ft, Tappan Zee: 800 Brooklyn: (350, <10), Verrazano: (500, 20), Tappan Zee: (400, 60)

1000 = -16x2 + 1700 x = 6.6 seconds 940 = -16x2 + 1700 x = 6.9 seconds 48x + 4x2 + 32x = 276 4x2 + 80x -276 = 0 4(x2 + 20x - 69) = 0 4(x + 23)(x – 3) = 0 x = -23, 3 x = 3 ft wide y = .278x2 + 1.391x – 3.896

Extra Whiteboard Review

1.) What is the length of UZ if WX is the segment bisector of UV at point Z ? a. 4 b. 43 c. 40 d. 20 4 5x + 23 10x + 3

2.) What is the measure of the largest angle in this triangle? a. 114 b. 40 c. 20 d. 66 5x+14 3x+6

2. ) Triangles ABC and DEF are similar 2.) Triangles ABC and DEF are similar. If the ratio of their sides is 3:2 and the measure of angle A is 55 degrees, what is the measure of angle D?

Factoring Extra Practice: 1.) 4x2 + 7x = 2 2.) x2 – 36 = 0 3.) 4x2 + 12x – 72 = 0

More Angry Birds Use the Document Camera to fill in table, etc. Show Investigation Notes pages on document camera when reviewing with class.

Practice Use the Document Camera to fill in table, etc. Show Investigation Notes pages on document camera when reviewing with class.

Start HW If there is still time have the class start on the Day 6 homework.