Monday, November 16, 2009

math (1116) - Quad: quadratic polynomial

new topic started today: the quadratic polynomial

its pretty straight forward, today we just went through dot points and the basics, revision from all that parabola stuff we did earlier in the year.

man i did not miss them -.-

take forever to do.. so much space

anyway.. terms we have to get to know and use properly:

monic - quadratic where the value before x^2 is 1
coeffcient - the number before the pronumeral basically
leading term - the term with the highest power (x^2)
constant term - the one with no pronumeral
root - x co-ordinates where y = 0 (ie. the x-intercept)
zero - the same thing as root

we all know the quadratic funcion:

y = ax^2 + bx + c

got it memorized?

and if the coeffcient of x^2 is positive, the graph will be concave up, if negative it'll be concave down.

note that as the coeffcient of x^2 gets larger, the graph becomes narrower, and as the coefficient becomes smaller, the graph becomes wider

all basic stuff really.

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