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 Equation is a univariate polynomial equation of the second degree.
The common endpoint of two or more rays or line segments.
The x-intercept of a line is the point at which the line crosses the x axis.
The y-intercept of a line is the point at which the line crosses the y axis.
A increase is a increase in the greater numbers
A decrease is a decrease in the lower numbers
Maximum is the highest point or maximum value
Minimum is the lowest point or lowest value
Parabola: The intersection of a right circular conical surface and a plane parallel to a generating straight line of that surface.
5.2
DIfference: A linear function has no exponent and the graph is a line while a quadratic function has an exponent of 2 and the graph is u-shaped. Also, a linear function has a constant rate a change and a quadratic does not.
5.5
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 bythe function h(t) = -16t^2+40t+3, where t is the elapsed time in seconds after the dive.
What shape does the path of the tennis ball make while traveling in the air.
The tennis ball path goes straight down & has a semi-circle
Find h(1). Describe what h(1) means in the context of the problem
h(1)=27 and the initial height
What is the y-intercept of h(t). In context, what does the y-intercept represent?
( 0,27) & it represets the height
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.
The vertex is 1.25, the x-coordinate of the vertex will be (28,0) The y-coordinate is the initial velocity
What is the x-intercept(s) of h(t). In context what does the x-intercept(s) represent?
The vertex will be 1.25, the x-coordinate of the vertex represents will (28,0) The y-coordinate is the initial velocity
What is the x-intercept(s) of h(t). In context what does the x-intercept(s) represent?
x-intercept of h(t) will be 2.3 because thats were it's crossed at, x reps the dropping of the ball*
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.
5.2
DIfference: A linear function has no exponent and the graph is a line while a quadratic function has an exponent of 2 and the graph is u-shaped. Also, a linear function has a constant rate a change and a quadratic does not.
5.5
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.