Transformations on a Graph

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

• f(x) = |2x + 1| - 9

• f(x) = |2x - 1| - 9

• f(x) = 2|x + 1| - 9 

• f(x) = 2|x - 1| - 9

What transformation occurred?

• f(x+4)

• f(x) + 4

• f(x-4)

• f(x) -4

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

Which of the following transformations are present?
-2f(x - 1) + 2

• reflection over the y axis

• reflection over the x axis

• shift left 1

• shift down 1

Describe the transformation from the parent graph.

• h. stretch by factor of 2, left 5

• h. shrink by factor of 2, up 5

• v. stretch by factor of 2, down 5

• v. shrink by factor of 2 right 5

The graph of
f(6x) 
represents what kind of transformation?

• Vertical stretch

• Vertical shrink

• Horizontal stretch

• Horizontal shrink

The graph of
f(1/2 x) 
represents what kind of transformation?

• Vertical stretch

• Vertical shrink

• Horizontal stretch

• Horizontal shrink

The graph of
0.7 f(x) 
represents what kind of transformation?

• Vertical stretch

• Vertical shrink

• Horizontal stretch

• Horizontal shrink

Under a translation, the image of the point (2, 1/2) is the point (-3 , 2 1/2).   Find the equation of the image function, if the parent function is f(x) = 1/x.

• f(x) = 1 / (x+5) + 2

• f(x) = 1 / (x+3) - 2

• f(x) = 1 / (3x) + 2

• f(x) = 1 / (x-3) - 2