Graph Transformations

If (2, 3) is on the graph of y = f(x), which of the following coordinates will be on the graph of y = f(x + 1) + 3

• (3 , 6)

• (1 , 6)

• (5 , 0)

• (-1 , 0)

Describe the transformation:

• f(x +3)

• f(x-3)

• f(x) - 3

• f(x) + 3 

What are the following transformations?
g(x) = - f(x+2)

• reflection over the y axis and 2 units to the right

• reflection over the x axis and 2 units right

• reflection over the y axis and 2 units left

• reflection over the x axis and 2 units left

What are the following transformations:
g(x) = f(-x) - 4

• reflection over the x axis and 4 units right

• reflection over the x axis and 4 units down

• reflection over the y axis and 4 units right

• reflection over the y axis and 4 units down

How is the graph of f transformed to create the graph of g?

• translated left 8, down 2

• translated right 8, down 2

• translated left 8, up 2

• translated right 8, up 2

  . 
The blue graphs is the parent function f(x)=|x|, the red must be

• g(x)=|x+2|

• g(x)=|x|+2

• g(x)=|x-2|

• g(x)=|x|-2

Which equation shows a function that is translated left 4 and 7 up?

• y = |x + 4| + 7

• y = (x - 4)² + 7

• y = (x + 7)² - 4

• y = |x + 4| - 7

 If the blue graph is the parent function, what is the equation of the red (transformed) function?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• A.  g(x)=3x²

• B.  g(x)=1/3x²

• C.  g(x) = x² - 3

• D.  g(x) = (x-3)²

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• A.  g(x) = 2x²

• B.  g(x) = 1/2x²

• C.  g(x) = x² + 2

• D.  g(x) = (x + 2)²