Transformation of a Square Root Function

Match the correct equation with the given graph.

Graph each function.

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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

What are the transformations to the graph compared to the parent function?

• Shifted right 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the x-axis

• Shifted right 2, shifted up 3, and reflected over the x-axis

Describe the transformations.
f(x) = √(x+2) - 4

• Translate Right 2, Down 4

• Translate Left 2, Down 4

• Translate Left 2, Up 4

• Translate Right 2, Up 4

• horizontal shift to the right 4 and vertical shift down 2
• horizontal shift to the left 4 and vertical shift up 2
• horizontal shift to the right 4 and vertical shift up 2
• horizontal shift to the left 4 and vertical shift down 2

What is the equation of the function that is graphed?

• f(x)= - √x

• f(x) = √-x

• f(x) = - √-x

Describe the transformation
y = 2√x

• Vertical Compression by 2

• Vertical Expansion by 2

• Vertical Compression by 1/2

• Horizontal Expansion by 2

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

Describe the transformation:
y = -√x

• Translate Down 1

• Translate Right 1

• Reflection over the x-axis

• Reflection over the y-axis