5.2+and+5.5

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

Image of function of linear function. In mathematics, a linear function is a linear mapping, in between two vector spaces of vector addition and scalar multiplication, maintain the mapping. However,quadratic functions refers to the unknown maximum number is two times of the polynomial function. The two functions can be expressed as a f ( x ) = ax ^ 2+bx+c ( a0). The image is a main axisparallel to the Y axis 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?

=-16+40+3 =27ft
 * h(1)= -16(1) ^2+40(1)+3


 * -40/-32=1.25


 * y-int 3

=-40±√1792 =-40±42.33 =-40+42.33/2=1.165
 * -40 ±√40^2-4(-16)(3)

-40-42.33/2-41.165