Answers to the Above Problems

f(x) = 2x^{2} 12x  20 = 2(x + 3)^{2}  2 (completing square)

 (1 , 8)
 (infinity , 8]
 (1 , 0) , (3 , 0)
 (0 , 6)


f(x) = 2(x + 3)^{2} + 2
 (2 , 0) , (4 , 0)
 c = 4 , b = 4 or 4

f(x) = (1/4)(x + 3)^{2} + 4

 (2 , 4)
 xintercept: (4 , 0) , (0 , 0) yintercept:(0 , 0)
 x = 2
 y = 4

y = (x + 2)^{2} + 4

A = (10 + 2x)(15 + 2x)  10*15 = 4x^{2} + 50x
 g(x) is maximum at x = 10
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