1) Constant Functionf(x)=b

a)2) Square Root Functionf(x)=x

b)3) Absolute Value Functionf(x)=

x

c)4) Cube Functionf(x)=x³

d)5) Identity Functionf(x)=x

e)6) Cube Root Functionf(x)=x

3

f)7) Reciprocal Functionf(x)=1

x

g)8) Square Functionf(x)=x²

Part B:Pick one of the functions from Part A and rewrite the function adding at least two transformations to the function (vertical shift, horizontal shift, stretch, compress, reflect about the x or y-axis). Do not discuss your transformations in your post! Your classmates are going to figure out your transformations. The summary of the transformations is listed below:

Summary of Graphing TechniquesTo Graph:Draw the Graph of f and:Functional Change to f(x):Vertical Shiftsy=f(x)+k, k>0Raise the graph of f by k units.Add to k to f(x)y=f(x)+k, k>0Lower the graph of f by k units.Subtract k to f(x)Horizontal Shiftsy=f(x)+k, k>0Shift the graph of f to the left j units.Replace x by x+hy=f(x)+k, k>0Shift the graph of f to the right h units.Replace x by x-hReflection about the x-axisy=-f(x)Reflect the graph of f about the x - axis.Multiply f(x) by -1Reflection about the y-axisy=-f(x)Reflect the graph of f about the y - axis.Replace x with -xCompressing or Stretchingy=af(x), a>0Multiply each y-coordinate of y=f(x) by a.

Stretch the graph of f vertically if a>1.

Compress the graph of f vertically if 0

Multiply f(x) by ay=f(ax), a>0Multiply each x-coordinate of y=f(x) by a.

Stretch the graph of f horizontally if 0

Compress the graph of f horizontally if a>1.