I Need help please

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

f(x + 2): Shift graph left by 2 units (x -----> x-2)

f(x) + 2:: Shift graph up by 2 units(y------>y+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) = 3(x+2)+1

= 3x+7

f(x) + 2 = 3x+1+2

= 3x+3

Include a graph of each function on the same grid.

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

-f(x) = -(2x-5)

= -2x+5