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Unformatted text preview: . This is to make
sure we get a somewhat accurate sketch. If the parabola has two xintercepts then we’ll
already have these points. If it has 0 or 1 xintercept we can either just plug in another x
value or use the yintercept and the axis of symmetry to get the second point.
5. Sketch the graph. At this point we’ve gotten enough points to get a fairly decent idea of
what the parabola will look like.
Now, there are two forms of the parabola that we will be looking at. This first form will make
graphing parabolas very easy. Unfortunately, most parabolas are not in this form. The second
form is the more common form and will require slightly (and only slightly) more work to sketch
the graph of the parabola.
Let’s take a look at the first form of the parabola. f ( x) = a ( x  h) + k
2 There are two pieces of information about the parabola that we can instantly get from this
function. First, if a is positive then the parabola will open up and if a is negative then the
parabola will open down. Secondly, the vertex of the par...
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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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