Let f(x) = x 2 and let g(x)=(x – 3) 2 + 2. (a) Give the formula for g in terms of f, and describe…

Let f(x) = x2 and let g(x)=(x − 3)2 + 2.

(a) Give the formula for g in terms of f, and describe the relationship between f and g in words.

(b) Is g a quadratic function? If so, find its standard form and the parameters a, b, and c.

(c) Graph g, labeling all important features.

          In Problems 43–48, explain in words the effect of the transformation on the graph of q(z). Assume a, b are positive constants.

Problems 43–48-43. q(z)+3                           44. q(z) − a

45. q(z + 4)                                                        46. q(z − a)

47. q(z + b) − a                                                 48. q(z − 2b) + ab

 

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