Alg_Complete

# The order listed here is important we must add first

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Unformatted text preview: ll not all that difficult. Note as well that we will get the y-intercept for free from this form. The y-intercept is, f ( 0) = a (0) + b ( 0) + c = c 2 Þ ( 0, c ) so we won’t need to do any computations for this one. Let’s graph some parabolas. Example 2 Sketch the graph of each of the following parabolas. © 2007 Paul Dawkins 211 http://tutorial.math.lamar.edu/terms.aspx College Algebra (a) g ( x ) = 3 x 2 - 6 x + 5 [Solution] (b) f ( x ) = - x 2 + 8 x [Solution] (c) f ( x ) = x 2 + 4 x + 4 [Solution] Solution (a) For this parabola we’ve got a = 3 , b = -6 and c = 5 . Make sure that you’re careful with signs when identifying these values. So we know that this parabola will open up since a is positive. Here are the evaluations for the vertex. x=- -6 -6 ==1 2 ( 3) 6 y = g (1) = 3 (1) - 6 (1) + 5 = 3 - 6 + 5 = 2 2 The vertex is then (1, 2 ) . Now at this point we also know that there won’t be any x-intercepts for this parabola since the vertex is above the x-axis and it opens upward. The y-intercept is ( 0,5 ) and using the axis of symmetry we kno...
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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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