Transformations from a Graph

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

Under a scale change, the image of the point (2, 4) is the point (1, -4).   Find the equation of the image function, if the parent function is f(x) = x²

• f(x) = -(x+1)²

• f(x) = -(2x)²

• f(x) = (-1/2 x)²

• f(x) = -(1/2 x)²

Consider the given function.  Find the coordinates of the point (1, 1) on the image function.

• (4, 2)

• (1, -4)

• (1, -1)

• (-2, -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

If f(x) is the graph below, which graph represents f(x) - 3?

• 
• 
• 
• 

Which function is graphed?

• f(x) = -|2x - 5| + 5

• f(x) = -|x - 3| - 3

• f(x) = -2|x + 3| + 5

• f(x) = -2|x + 5| - 3

Describe the transformation

f(-x)

• reflect over the x-axis

• shift up

• shift down

• reflect over the y-axis

Describe the transformation

f(x) + 4

• shift left 4

• shift right 4

• shift up 4

• shift down 4