Polynomial Functions And Quadratic Models Worksheet - Lecture 6, University Of Florida Page 4
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12L6 - 4
II. Graph using the vertex formula:
We can prove the following using the Quadratic For-
mula (see text) and very easily using calculus:
2
The vertex of the graph of f (x) = ax
+bx+c is given
by the formula x =
and y =
.
The parabola opens upwards if a > 0 and downwards
if a < 0.
We use the vertex and intercepts to graph.
2
ex. Sketch the graph of y = 2x
+ 5x
3.
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