College Algebra Essay

Total Length: 777 words ( 3 double-spaced pages)

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College Algebra

Graphing Transformations

a) Given the function f (x) = x^2 complete the following table. Must show all work for full credit.

f (x)

Show Work:

When x = 0, f (x) = f (0) = (0)^2 = 0.

When x = 1, f (x) = f (1) = (1)^2 = 1.

When x = 4, f (x) = f (4) = (4)^2 = 16.

When x = 9, f (x) = f (9) = (9)^2 = 81.

When x = 16, f (x) = f (16) = (16)^2 = 256.

b) Using the table from part a, graph the function f (x) = x^2 . For a tutorial on creating graphs in Excel and inserting graphs of functions please see the Assignment List.

c) Given the function f (x) = (x +1)^2 complete the following table. Must show all work for full credit.


f (x)

Show Work or Explain in Words:

When x = -1, f (x) = f (-1) = (-1 + 1)^2 = (0)^2 = 0.

When x = 0, f (x) = f (0) = (0 + 1)^2 = (1)^2 = 1.

When x = 3, f (x) = f (3) = (3 + 1)^2 = (4)^2 = 16.

When x = 8, f (x) = f (8) = (8 + 1)^2 = (9)^2 = 81.

When x = 15, f (x) = f (15) = (15 + 1)^2 = (16)^2 = 256.

d) Using the table from part c, graph the function f (x) = (x +1)^2 . For a tutorial on creating graphs in Excel and inserting graphs of functions please see the Assignment List.

Answer:

e) Given the graph of y=f (x) describe in words the transformation.....

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