Transformations

Question

Transformations

Explain how each transformations below would alter the graph of f(x).

f(x + 2):

f(x) + 2::

Use the f(x) given below to determine the transformed functions.

Given: f(x) = 3x + 1, rewrite this function as a new function following the transformations below.

f(x + 2) =

f(x) + 2 =

Include a graph of each function on the same grid.

Find -f(x) for f(x) = 2x - 5.

Answer 1

shift left 2, f(x ) to f(x+2)

shift up 2, f(x) to f(x)+2

f(x)=3x+1

shift left 2 gives 3(x+2)+1= 3x+7

shift up 2 gives 3x+1+2= 3x+3

f(x)=-2x-5

-f(x) =2x+5

reflects over x axis