Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f.f(x) = , g(x) =  + 2

A. g shifts the graph of f vertically up 2 units

B. g shifts the graph of f vertically down 2 units

C. g shifts the graph of f vertically up 2 units

D. g shifts the graph of f vertically down 2 units


Answer: A

Mathematics

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A. 2x2 + 25 B. 2x2 + 20x + 25 C. 4x2 + 20x + 25 D. 4x2 + 25

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Find all the first order partial derivatives for the following function.f(x, y, z) = 

A.  =  =  = 
B.  =  ;  =   ;  = 
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D.  = -  ;  = -   ;  = - 

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