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Unformatted text preview: abola is the point ( h, k ) . Be very
careful with signs when getting the vertex here.
So, when we are lucky enough to have this form of the parabola we are given the vertex for free.
Let’s see a couple of examples here. Example 1 Sketch the graph of each of the following parabolas.
2
(a) f ( x ) = 2 ( x + 3)  8 [Solution]
(b) g ( x ) =  ( x  2 )  1 [Solution]
2 (c) h ( x ) = x 2 + 4 [Solution]
Solution
Okay, in all of these we will simply go through the process given above to find the needed points
and the graph. © 2007 Paul Dawkins 207 http://tutorial.math.lamar.edu/terms.aspx College Algebra (a) f ( x ) = 2 ( x + 3)  8
2 First we need to find the vertex. We will need to be careful with the signs however. Comparing
our equation to the form above we see that we must have h = 3 and k = 8 since that is the
only way to get the correct signs in our function. Therefore, the vertex of this parabola is, ( 3, 8) Now let’s find the yintercept. This is nothing more than a quick function evaluation. f ( 0 ) = 2 ( 0 + 3)  8 = 2 ( 9 )  8 = 10 y  inte...
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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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