Unit+5

__** 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- something that relates to square, to the operation of squaring, to terms of the second degree
 * vertex- common endpoint in a parabola
 * x-intercept- points that cross the x axis
 * y-intercept- points that cross the y axis
 * increasing- parabola opens up
 * decreasing- parabola open down
 * maximum- highest point (vertex) negative parabola
 * minimum- positve parabola
 * parabola- a set of points that form a u on a graph

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

linear functions Quadratic functions
 * y=mx+b
 * forms a straight line
 * b= y-intercept
 * m= slope
 * //ax // 2  + //bx // + //c // = 0

Similarities
 * forms a parabola
 * both are functions
 * both have different equations

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

In your wikispace journal, describe the similarities and differences between the three graphs and equations. Be sure to compare the following features; y-intercept, x-intercepts, direction of the graph. Find the connection between these features and their equations - what causes them?

 The equation of a linear function is y = mx + b. The properties of the funtcion is that it has a y-intercepts and x-interecpts. The graph of a quadratic equation is that it forms a symmetrical curve as in both sides of they are of same length. The equation of a quadratic function is f(x) = ax^ 2 + bx + c.

__** 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?

 It opens down That means when the ball is 1 foot in the air, 27 seconds would have passed. The y-intercept is (0,3). it means that the inital velocity is 3 feet.  The x-intecept is (2.57,0). That means that it does not pass 2.57 seconds because after that it will have been touched the ground.