Function Transformations

What are the transformations?

y=(x-2)³+4

• Horizontal shift right 2 Vertical shift up 4

• Horizontal shift left 2 Vertical shift up 4

• Horizontal shift right 2 Vertical shift down 4

• Horizontal shift left 2 Vertical shift up 4

Tags

CCSS.HSF.BF.B.3

Describe the transformation from dotted to solid.

• f(x + 4)
• f(x - 4)
• f(x) + 4
• f(x) - 4

What causes the graph of y = x² to open downward?

• multiply the x² by a fraction
• multiply the x² by a decimal
• multiply the x² by a negative number
• multiply the x² by a number greater than 1

Which equation below is a quadratic function translated up 5 units?

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

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I 

• Left 4
• Right 4
• Up 4
• Down 4

Describe the transformation that occurred

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

• Up 5 Units

• vertical compression

• vertical stretch

• Down 5 Units

• Left 2; Up 2
• Right 2; Down 2
• Left 2; Up 2; Reflection over x-axis
• Vertical stretch by factor of 3; Right 2; Down 2

• Reflection over y-axis; Right 3; Up 1
• Right 3; Up 1
• Reflection over x-axis; Left 3; Up 1
• Reflection of x-axis; Right 3; Up 1

• f(x)=x² + 2
• f(x) = (x-2)² + 1
• f(x)= (x+2)² - 1
• f(x)= (x+2)² + 1

• 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