1. Questions
2. Log and Trig quiz
3. Review Week 8 tools quiz
4. Final Tools quiz review
5. Tools vs Problem Solving: Circles and Triangle
6. Quadratic Equations: Identify a, b, and c
1. Find y intercept ax^2 + bx + c
2. open up or down:
3. axis of symetry: -b/2a
4. x intercept: solutions graph, factor, quadratic equation
-factoring polynomials: 4x^3-16x^2-20x
-quadratic equation: -b (+-) (b^2 – 4ac)^(1/2)/2a
7. A fastball is poped straight up at home plate. It’s height is given by -16x^2 + 80x + 5, where x is in seconds. Find the maximum height of the ball
8. How would you solve: 4x^2 + 3 + 5x – 1 = 2x^2 – 6x + 7
9. Solving equations with roots:
(3x-2)^(1/2) – 6 = 2
x^(4/3) = 81
10. If you drop a rock from a hight bridge, the distance (d) the rock falls is given by the equation: t = (d/16)^(1/2), where is the distance the rock falls and t is the time it takes to fall. If it took 3.1 seconds for the rock to hit the water, how high is the bridge?
11. Practice:
1. Given the equation: -3x^2 + 4x + 2 Answer the following questions:
a. does the graph open up or down?
b. What is the axis of symetry?
c. what is the y intercept?
d. Sketch a quick graph of this function
e. What are the x intercepts? Use the quadratic equation on board
2. Solve: 3 + 2x^2 – 5x = 2 – 7x + x^2
3. Automobile spacing recommendations are given by the equation: d = .03(v^2) + v + 18. d is the recommended distance back to stay at v velocity in feet per second. If a car is 50 feet behind the car in front, how fast should it be traveling to be safe?
4. The distance a submarine can see from its periscope is a function of its height above water. This function is d = (1.5h)^(1/2), where d is the distance you can see (in miles) and h is the height above water (in feet). How far above the water would the periscope have to be in order to see 6 miles?