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 - 2 is the highest exponent**  =
 * = **vertex - Highest point or lowest point on a parabola** =
 * = **x-intercept - where the line crosses the x axis which is always written as (x,0)** =
 * = **y-intercept - where the line crosses the y axis which s always written as (0,y)** =
 * = **increasing -** **when graph opens up** =
 * = **decreasing - opens down graph** =
 * = **maximum - Highest point** =
 * = **minimum - Lowest point** =
 * = **parabola - A U-shaped graph** =

Summarize the similarities and differences between linear functions and quadratic functions. Discuss the graphs, the equations and the properties of each function.
= =
 * = A quadratic function must have a squared term and the highest exponent is 2. =
 * = A linear function will consist of variables only to the first power the equation is always Y=mx+b =


 * = Linear functions are always a straight line. =
 * = Quadratic functions tend to always form a parabola. =

__** 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?===


 * === This parabola would open down ===
 * === The ball is 1 foot in the air,it means the seconds would have passed. ===
 * === The y-intercept is (0,3). the y-intercept in the context represents the initial velocity. ===
 * === Vertex is (1.25,28), which really means that at 1.25 seconds the tennis ball will be at 28 feet. ===
 * === The x-intercept is (2.57,0). which means that it does not pass 2.57 seconds because if it did it would have touched the ground. ===