6.1 solving and graphing Parabolas
by Jennifer R.

--Parabolas- Its the graphing of any quadratic function.

--Quadratic Function- is a function described by an equation that can be written in the from f(x)=ax^2+bx+c, where a does not equal 0.

In a standard form equation like y=x^2-4 there are 3 different part to it the is the :

Quadratic Term--  x^2

Linear Term--  x

Constant Term--  -4

Line of Symmetry equation is x=-b/2a

Another thing you would need to know before start this there are a few more definitions you'll need to know:

Vertex: is the point of intersection of the parabola and the axis of symmetry.

Zero: are the x-coordinates of these intersection points of the function.

OK NOW TIME TO START!!

here a word problem for you:

A rock was shot downward in with an initial velocity of 35 feet per second. The height of the arrow h(t) in terms of the time t since the rock was released is h(t)=t2-4t=4

a.) Draw the graph of the function relating the height of the rock to the time.

b.) Name the axis of symmetry and the vertex.

Answer:

a.)                                                            

 

b.) Line of Symmetry : 2

Vertex: (2,0)

"Life is good for only two things, discovering mathematics and teaching mathematics"--Siméon Poisson

From website :

http://math.furman.edu/~mwoodard/mquot.html

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