# Solving Quadratic Equations and Word Problems

1. x2-3x+2=0 , solve by factoring, solve by completing the square, solve by using the quadratic formula

2. y= 2^-6x+8 a)put the function in the form y=a(x-h)2 +k b) what is the line of symmetry c) graph the function using the equation in part a. Explain your answer. Why is it not necessary to plot points to graph when using y= a(x-h)^ +k

show graph and explain the graph d) In your own workd descrbie how this graph compares the graph of y+x2

3. Suppose you throw a baseball straight up at a velocity of 32 feet per second. A function can be created expressing distance above the ground, s, as a function of time, t. This function is s= -16t2 + vot+ so. 16 represents 1/2g, the gravatatinal pull due to gravity (measured in feet per second squared), vo is the initial velocity(how hard do you throw the object, measured in feet per second), so is the initial distance above ground (in feet), If you are standing on the ground, then so = 0.

a) What is the function that describes the problem? b) the ball will be how high above the ground after 1 second? show work c) How long will it take to hit the ground? d) What is the maximum height of the ball?

4. Amanda has 400 ft. of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length + 2 X width) She wants to maximaze the area of the patio (area is LxW). What should the dimensions of the patio be and show how the maximum area of the patio is calculated from an algebraic equation? Show work.

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