Transformation

Find g(x), where g(x) is the translation 2 units right and 11 units down of f(x)=-5x–7

• 5x +8
• -5(x-2)-8
• -5x-28
• 5x + 28

Find g(x), where g(x) is the translation 4 units down of 
f(x)=-10|x–6|.

• -10|x–6|-4
• -10|x–10|
• -10|x–2|.
• -10|x–6| +4

Find g(x), where g(x) is the translation 4 units down of 
f(x)=-10|x–6|.

• -10|x–6|-4
• -10|x–10|
• -10|x–2|.
• -10|x–6| +4

What does the transformation f(x)↦f(5x) do to the graph of f(x)?

• Stretches it vertically
• Stretches it horizontally
• Shrinks it vertically
• Shrinks it horizontally

What would be the coordinates of point P (-3, 8) after horizontal translation by unit 6, followed by vertical stretch by factor 1/4.

• (-3 , 8)
• (2, 3)
• (3,2)
• (3, 8)

Let f(x) = x² and g(x) = 2(x – 1)².The graph of g can be obtained from the graph of f using two transformations. Geometric description of each of the two transformations is:

• Vertical Translation  followed by horizontal stretch 
• Horizontal translation followed by vertical stretch
• Vertical stretch followed by horizontal translation to the 
• Horizontal stretch followed by horizontal translation

Let f(x) = 3 ln x and g(x) = ln 5x³.
g(x) can be expressed as 

• 3f(5x)
• f(x) - 3ln5
• 3f(x) + 3ln5
• f(x) + ln5

A sequence of transformations that transforms the graph of y = x² to the graph ofy = 3x² – 6x + 5.

• translation right by 1, vertical translation by 2 and stretch by factor 3
• vertical translation by factor 2, horizontal translation by1 and stretch by factor 2
• vertical stretch by factor 3, horizontal translation by 1 and vertical translation by 1
• None of above

The graph of y = ln(x) is transformed into the graph of y = ln(2x + 1). Sequence of transformations are

• Horizontal translation by -1 and stretch by factor 0.5
• Horizontal translation by 1 and stretch by factor 2
• stretch by factor 0.5 and  Horizontal translation by -1 
• stretch by factor 2 and  Horizontal translation by 1 

Reflection about line y = x is 

• -f(x)
• f^-1(x)
• f(-x)
• 1/f(x)