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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.
 Spring '12
 MrVinh

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