Alg_Complete

A the thing that weve got to remember here is that we

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Unformatted text preview: nts. h ( -2 ) = ( -2 ) + 4 = 8 Þ h ( 2) = ( 2) + 4 = 8 Þ 2 2 ( -2,8 ) ( 2,8 ) Note that we could have gotten the second point here using the axis of symmetry if we’d wanted to. Here is a sketch of the graph. [Return to Problems] Okay, we’ve seen some examples now of this form of the parabola. However, as noted earlier most parabolas are not given in that form. So, we need to take a look at how to graph a parabola that is in the general form. f ( x ) = ax 2 + bx + c In this form the sign of a will determine whether or not the parabola will open upwards or downwards just as it did in the previous set of examples. Unlike the previous form we will not get the vertex for free this time. However, it is will easy to find. Here is the vertex for a parabola in the general form. æb ç - 2a , è æ b öö f ç- ÷÷ è 2a ø ø To get the vertex all we do is compute the x coordinate from a and b and then plug this into the function to get the y coordinate. Not quite as simple as the previous form, but sti...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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