unit+5+journal+responses


 * 5.1 **

List the following words and give a mathematical definition in your own words on your wikispace. Remember, you may edit your definitions after we begin the unit.


 * quadratic - a formula that gives the factors of a quadratic equation to the coefficient.
 * vertex - a line where the points will meet.
 * x-intercept - the x-coordinate of a point that intersects the x-axis
 * y-intercept - the y-coordinate of a point that intersects the y-axis
 * increasing - enlarging growth
 * decreasing - gradually smaller growth
 * maximum - highest amount
 * minimum - lowest amount
 * parabola - a plane curved and formed by a intersection of a right circular cone and a plane parallel.

‍‍‍ __** 5.2: **__
Summarize the similarities and differences between linear functions and quadratic functions. Discuss the graphs, the equations and the properties of each function.

The differences between linear functions and quadratic functions is that linear functions is a straight line, and quadratic functions are a curve line. Linear Functions do not have exponents, but quadratic functions does. The linear functions has a change of rate and has real variables and constants in y = mx+b. While in Quadratic Functions, they are parabola and is in a polynomial function of the form y = ax^2+bx+c. The similarities of a linear function and a quadratic function is that t hey are continuous, differentiable functions.

‍‍‍ __** 5.3: **__
Joe is standing at the end zone of a football field and throws the football across the field. The function below models the path that football is thrown, in feet. f(x)=-2(x-75)squared +22

Answer the following questions in your wikispace.
 * What graphical shape did the football create as it flew through the air?
 * Identify the vertex.
 * Describe, in context, what the x-coordinate of the vertex represents.
 * Describe, in context, what the y-coordinate of the vertex represents.
 * Find f(2). Describe what your answer means in the context of the problem.

1. It made like tiny up shape mountain. 2. Vertex = (75,22) 3. (**-11,261 ****,0) The X Coordinate of the Vertex represents the feet of how far he is going to kick it. **
 * 4. (0, -11,228) The Y coordinate of the Vertex represents how far Joe kicked the football in feet. **
 * 5. (2, ****-10,636) Joe kicked the football 2 feets and landed a -10,636 meters. **

‍‍‍ __** 5.4: **__
Complete the three graphs and tables in the document below.

[|5.4 Work.doc]

__** 5.5: **__


 * You and your friend are playing a game of tennis. Your friend throws the ball in the air, hitting the ball when it is 3 ft above the court with an initial velocity of 40 ft/sec. The height h(t) of the ball can be modeled by **** the function h(t) = -16t^2+40t+3, where t is the elapsed time in seconds after the dive **** . **

__ **Answer the following questions in your wikispace.** __


 * What shape does the path of the tennis ball make while traveling in the air.
 * Find h(1). Describe what h(1) means in the context of the problem
 * What is the y-intercept of h(t). In context, what does the y-intercept represent?
 * Identify the vertex. Describe in context what the x-coordinate of the vertex represents. Describe in context what the y-coordinate of the vertex represents.
 * What is the x-intercept(s) of h(t). In context what does the x-intercept(s) represent?