A.M. writes:
Chapter Six was a very interesting chpater. The chapter began with a basic dicussion of quadratic ezpressions, and how quadratic expressions realate to rectangles and squares. The next section taught about absolute value, square roots, and quadratic expressions. The section helped furthur understand the functions of absolute values. After that, we learned baout the graphing translation theorem. We learned how to find the vertex, equation, and axis of symmetry for a parabola. There are two forms for the equation of a parabola that we learned. There is y=ax2+bx+c, and y-k=a(x-h). At the same time we began to learn and use the formula of velocity- h=-1/2gt2+Vot+Ho. Next, we learned about completing the perfect square where we learned easy tricks to completing a perfect square. Then, we learned about the quadratic model and then the quadratic formula. The the chapter got a little more complicated. We began studies on imaginary numbers., then complex numbers. Then the last section of the chapter dealt with analyzing quadratic equations. Chapter Six was interesting but it some points the information was a little hard to understand.

K.W. writes:
Chapter 6 was called Quadratic Functions b/c it dealt w/ Quadratic Functions. The first lesson introduced Quadratic experssions...rectangles AND squares. We learned the definition of many usful terms and how to do some simple problems. After that, we were introduced to absolute value and square roots (even though a lot of us already knew how to do those things. The first two chapters were introductions and review of easy things that we would need to apply to harder things that would come later on in the chapter. In 6-3 and 6-4, we learned about graphing quadratic functions, ax^2+bx+c and the Graph-Translation Theorm. After, we discussed trinomials and how to complete the sqaure. For example, if you are given a problem: x^2+18x+? and you have to find out what the ? is, you would divide the middle term, in this case 18, by 2, and then you would square it. Therefore, the ? would equal 81. That was lesson 6-5. In 6-6, we applied the quadratic model to data. For example, one was given data, they would have to make an quadratic equation by applying skills we learn in 6-6. The next lesson was more of a review: we learned about the Quadratic Formula. The quadratic formula is important in solving quadratic equations. Finally, we learned about imaginary and complex numbers in lessons 6-8 aND 6-9 WHICH RELATE TO ONE ANOTHER.I DIDN'T DO 6-10 YET BECAUSE I WAS ABSENT BUT I LOOK FORWARD TO FINDING OUT WHAT IS IN IT!

E.B. writes:
Chapter 6 dealt with quadtratic functions.The first section was an intro to the equation and function. The chapter also with the absolute value and square roots. Then we learned how to apply the graph translation theorem. Section 6-4 dealt with graphing the standard form of an equation of a parabola and acceleration due to gravity. Also the topic of velocity was covered. The following sections addressed problkem involving completing the perfect square. quadratic model and imaginary numbers.This chapter seemed to be filled with numerous new vocabulary terms.

S.B. writes:
Chapter 6 was very confusing, yet it was interesting. We started chapter 6 in the first semester and did the rest of it in the second semester. The main idea of chapter 6 was quadratic functions. First we learned how to make quadratic expressions from squares and rectangles, we learned how to use the binomial square theorem. Next we learned about absolute values, and square roots. We learned what he absolut value-square root theorem was. Then we learned to graph quadratic equations on graphs which look like parabolas. We learned that the standard for of an equation is y=ax^2+bx+c and it is equal to the graph of y=ax^2. We learned how to calculate information about when you throw or hit a ball, using the equation h=-1/2gt^2+vt=h.We learned how to complete a square, and how to fit a quadratic model to data. We learned what the quadratic formula is. We learned about imaginary numbers, which were confuwsing to me. i = -1. we also learned about complex numbers which were alsop very confusing to me. Lastly, we learned about real solutions and roots to an equation or graph.

S.C. writes:
We learned about four types equations in the first lesson, the quadratic expression, the quadratic equation, the quadratic function, and the standard form of a quadratic. In the second lesson we learned about absolute values and their fucntions, square roots, and quadratic equations. In the third lesson we learned about the graph translation theorem. In the fourth lesson we learned how to graph y=ax^2+bx+c. In the fifth lesson we learned how to complete a square. In the sixth lesson we learned how to fit a quadratic model to data. In the seventh lesson we learned about the quadratic formula. In the eighth lesson we learned about imaginary numbers and how to use them. In the ninth lesson we learned about complex numbers and how they are associated with imaginary numbers. In the tenth lesson we learned how to analyze solutions to quadratic equations.

C.A. writes:
In chapter 6 we studied quadratic expressions, recxtangles and squares. In section 2 we learned how absolute values and square roots pertained to quadratic equations. In secion 3 the graph-translation theorem was presented. We also learned to complete the square, fit a quadratic model to data, and attain a better understanding of imaginary numbers. Each section seemed to build on the previous one. It was difficult to grasp some of the concepts in the beginning, but eventually, with practice, they became easier to understand.

M.B. writes:
well i liked chapter six a lot. it was slightly confusing b/c it had a lot of information but it was fun. we learned a lot of formulas which can be applied to daily life. we learned how to determine height, velocity, a ball being thrown up, all using one simple equation- h=1/2gt+vo. we also used the quadratic formula from last year to determine different things such as the x intercept. we learned how to find an equation to fit data, and most importantly, we learned imaginary numbers. euler invented these really weird numbers when it is impossible for teh number to be real...it is like the square root of a negative number. these numbers are odd but really neat. it was nice learning them b/c it was something i had never been taught before. i like the challenge of chapter six. also we learned how to from D, and to figure out how many solutions there are for a problem. finally, quadratic expressions were the basic unit of chapter six. we learned also how to predict how the graph will look based on the parabola and then using the discriminant we leanred where the parabola will be placed (I, II, IV, or III) this chapter was very packed with information.

E.W. writes:
Chapter 6, seemed rather hard towards the end. Before midtermns we started doing quadratic expressions, rectangles and squares, that was pretty easy. Next we did absolute alue, square roots and quadratic equations, that also, was rather easy.As we moved on to the graph-translation theorem and graphing y=ax squared +bx+c, it seemed pretty easy.Then we started working after the midterm....i pretty much forgot the rest of the stuff, but completeing the square was very easy. Then came the hard stuff, fitting a quadratic model to data, the quadratic formula and the hatrdest part, imaginary numbers and complex numbers. AAll in all the chapter was allright, imn kind of nervous for the test though.

D.U. writes:
Chapter 6 dealt with quadratic theorems and imaginary numbers used to solve a variety of equations. Used even in the Greek time period such operations and solutions were not mathematically defined until the 16th century. Since then we have been taught to solve negative square roots and various eqautions solving them as well as finding solutions to equations types ax + Bx + C = 0. Furthermore, we were taught to graph these situations and predict the outcome of the solutions involved. Chapter 6 therefore was very informative.