# Q6 - dimensions of the ﬁeld of largest possible area that...

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Problem 1 2 3 4 5 Bonus: Total: Points 20 20 20 20 20 10 100+10 Scores MAP 103: Proﬁciency Algebra, Quiz #6, Fall 2009 Name Id# Nov. 19, 2009 1. Write in vertex form the quadratic function y = x 2 + 5 x + 1 . 2. On the interval [ - 4 , 4] , sketch the graph of the quadratic function y = (2 x - 3) 2 - 1 . Label your graph appropriately. Clearly indicate the vertex, y -intercept and x -intercepts (if any). 3. A rectangular ﬁeld is to be fenced oﬀ along the bank of a rive, and no fence is required along the river. The material for the fence costs \$8 per running foot for the two ends and \$12 per running foot for the side parallel to the river; \$3600 worth of fence is to be used. Find the

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Unformatted text preview: dimensions of the ﬁeld of largest possible area that can be enclosed with the \$3600 woth of fence. What is the largest area? 4. Find the coordinates ( x,y ) that give the points of intersection between the graphs of y = x 2 + 4 x + 7 and y =-x + 5 . 5. Find a formula for the inverse of the function f ( x ) = x-2 4-2 x . Bonus (+10 Points): Let f ( x ) = ( x 2 +1) 2 +1 and g ( x ) = ( x +2) 2 . Find a formula for f-1 ◦ g-1 ( x ) . Show all work....
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## This note was uploaded on 04/18/2010 for the course MAP 103 taught by Professor Staff during the Fall '08 term at SUNY Stony Brook.

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Q6 - dimensions of the ﬁeld of largest possible area that...

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