Functions Transformation Vertical Stretch and Compression

What are the transformations of this functions compared to the parent function y = √(x)?

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch, and shifted right 5

• Reflected over the x-axis, vertical stretch, and shifted left 5

• Shifted right 5, shifted down 2

What are the transformations?
y=3(x-4)²?

• horz shift right 4, vert stretch by a factor of 3

• horz shift left 4, vert stretch by a factor of 3

• horz shift right 4, vert stretch by a factor of 1/3

• horz shift right 4, vert shift up 3

Describe the transformation of y = f(x) for the new function
f(x) = 5x² + 2

• Stretch of 5
  Up 2

• Shrink of 5
  Up 2

• Stretch of 5
  Down 2

• Shrink of 5
  Down 2

The original function has equation f(x).  State the transformations given the new function f(x) = ⅔(x - 7)² 

• Vertical Shrink of ⅔
  Right 7

• Horizontal Shrink of ⅔
  Left 7

• Left  ⅔
  Vertical stretch of 7

• Right ⅔
  Horizontal stretch of 7

When k = 4, the graph of g is the graph of f​ ​​ ​ ​ ​ ​ ​ ​ ​ (a)   by a factor of 4

• stretched vertically

• compressed horizontally

• stretched horizontally

• compressed vertically

Which is a correct representation of the original function f(x) to its transformation g(x)?

• g(x)=-¼f(x)

• g(x)= -4f(x)

• g(x)= ¼f(x)

• g(x)=4f(x)

• The graph of g(x) is a horizontal stretch of the graph of f(x)

• The graph of g(x) is a horizontal shrink of the graph of f(x)
  

• The graph of g(x) is a vertical stretch of the graph of f(x)

• The graph of g(x) is a vertical shrink of the graph of f(x)

Match the description to its equation.

• A

• B

• C

• D

A student graphed f(x) = x and g(x) = 2f(x). Which statement is true?

• The graph of g is steeper than the graph of f.

• The graph of g is less steep than the graph of f.

• The graph of f is shifted 2 units up to create the graph of g.

• The graph of f is shifted 2 units to the right to create the graph of g.