Transformations of Functions

f(x) = 5x² + 2

• Vertical Stretch of 5

  Up 2

• Vertical Compress of 5

  Up 2

• Vertical Stretch of 5

  Down 2

• Vertical Compress of 5

  Down 2

.

The blue graph represents the parent function, so the equation of the red graph would be:

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

The blue graph represents the parent function, so the equation of the red graph would be:

• g(x) = x³ + 1

• g(x) = x³ - 1

• g(x) = (x - 1)³

• g(x) = (x + 1)³

What are the following transformations:
f(-x) - 4

• reflection over the x axis and 4 units right
• reflection over the x axis and 4 units down
• reflection over the y axis and 4 units right
• reflection over the y axis and 4 units down

Tags

CCSS.HSF.BF.B.3

Which of the following transformations are present?
-2f(x - 1) + 2

• Shift 1 unit down
• Shift 1 unit up
• Shift 1 unit left
• Shift 1 unit right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation that occurred

h(x) = 1/5f(x)

• Up 5 Units

• Compressed Vertically

• Stretched Vertically

• Down 5 Units

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

Which is the correct equation for this function?

• f(x)=3∣x−2∣−2

• f(x)=1/3∣x+2∣−2

• f(x)=3∣x+2∣−2

• f(x) = 1/3∣x−2∣+2

Which equation represents this graph?

• f(x)=(x - 4)² - 3

• f(x)=-(x - 4)² + 3

• f(x)=(x - 4)² + 3

• f(x)=-(x + 4)² + 3

 $y=\sqrt{x-2}$  

Which graph represents this transformed function?

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