Transformation Square Root Function

What is the equation of the graph?

• y = √(x - 3)

• y = √(x) + 3

• y = √(x - 5) + 4

• y = √(x + 5) + 4

Match the following numbers to their square roots.

• 5

• 64

• 7

• 36

• 6

• 49

• 8

• 25

• 9

• 81

f(x) = -√(x) - 2

• Reflect over x-axis
  Down 2

• Reflect over y-axis
  Up 2

• Reflect over x-axis
  Up 2

• Reflect over y-axis
  Down 2

What are the transformations for the graph of
the parent function f(x) = √x  to the function above 

• Vertical Stretch by a factor of 2; translated down 5 units 

• Shifted right 2 units and down 5 units 

• Vertical stretch by a factor of 2; translated left 5 units

• Vertical stretch by a factor of 2; translated right one unit 

What are the transformations of this functions compared to the parent function?

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

Describe the transformation.

• Vertical Stretch by 3

• Vertical Shrink by 3

• Horizontal Shrink by 3

• Horizontal Stretch by 3

Write the square root function that has the following transformations:

a) horizontal reflection over the y-axis

b) vertical shift up 2

c) vertical stretch by a factor of 3

(start your answer with y= )

Mathematical Equivalence

ON

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Which of the following is the function shown in the graph?

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What are the transformations of this functions compared to the parent function?

• 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