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# Class Note for MATH 1310 at UH

Marketplace > University of Houston > Class Note for MATH 1310 at UH

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## About this Document

COURSE
PROF.
No professor available
TYPE
Class Notes
PAGES
6
WORDS
KARMA
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This 6 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 12 views.

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Date Created: 02/06/15
Example 6 Sketch the graph of the function f x 2x2 12x 23 You must put it in standard form f x ax h2 k Step 1 Group x terms together inside parentheses SteL21 Factor out coefficient of xi Step 3 Take the number in front of x divide it by 2 and square Add the result inside the parentheses Compensate by subtracting outside the parentheses Step 4 Factor the trinomial inside the parentheses Your function is now in standard form so you can graph it Section 35 7 L3 7 Page 1 of6 Vertex Axis of Symmetry Opens Up Down The function has a maximumminimum value of I 39 x intercepts y intercept Section 35 7 L3 7 Page 2 of6 Example 7 Sketch the graph of the function f x 6x2 12x 5 You must put it in standard form f x ax h2 k Step 1 Group x terms together inside parentheses SteL21 Factor out coefficient of xi Step 3 Take the number in front of x divide it by 2 and square Add the result inside the parentheses Compensate by subtracting outside the parentheses Step 4 Factor the trinomial inside the parentheses Your function is now in standard form so you can graph it Section 35 7 L3 7 Page 3 of6 Vertex Axis of Symmetry Opens Up Down The function has a maximumminimum value of x intercepts y intercept Section 35 7 L3 7 Page 4 of6 Example 8 Sketch the graph of the function f x 3 4x 4x2 You must put it in standard form f x ax h2 k Section 35 7 L3 7 Page 5 of6 Example 9 Find the maximum or minimum value for f x 3x2 6x 7 State whether the value is a maximum or minimum The parabola has a maximum minimum of Section 35 7 L3 7 Page 6 of6

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