Transformations of the Square Root Function

If the blue function is f(x)=x², then the red function must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

g(x) = -f(x)

Describe the transformation to f(x) that results in g(x).

• f(x) has been reflected over the x-axis.

• f(x) has been reflected over the y-axis.

Describe the transformation of y = f(x) for the new function
 y = f(- x)

• The graph of y = f(x) was flipped vertically across the x axis. 
• The graph of y = f(x) was flipped horizontally across the y axis.
• The graph of y = f(x) was shifted down.
• The graph of y = f(x) was shifted up

Tags

CCSS.HSF.BF.B.3

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left
• horizontal shift left and vertical shift down
• horizontal shift right and vertical shift up
• horizontal shift up and vertical shift right

f(x) = 1/3x² + 2

• Stretch of 1/3

  Up 2

• Shrink of 1/3

  Up 2

• Stretch of 1/3

  Down 2

• Shrink of 1/3

  Down 2

Which equation describes the transformation of shifting f(x)=x³ seven units up?

• x³+7
• x³-7
• (x-7)³
• (x+7)³

Tags

CCSS.HSF.BF.B.3

Describe the transformation.

• Down 1
• Reflect over y-axis
• Up 1
• Reflect over x-axis

Tags

CCSS.HSF.BF.B.3

Identify the transformations

• Reflected over x-axis and translated down 2

• Translated down 2

• Translated over y-axis and down 2

• translated left 2

Tags

CCSS.HSF.BF.B.3

How is this transformed?

• Left 1, up 4

• reflected, right 1, up 4

• reflected, left 1, up 4

• right 1, up 4

Tags

CCSS.HSF.BF.B.3

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 

Tags

CCSS.HSF.BF.B.3