Graphing Function Transformations

A horizontal shifts move a function...

• up or down

• left or right

Describe the transformation from dotted to solid.

• f(x + 4)

• f(x - 4)

• f(x) + 4

• f(x) - 4

Describe the transformation from dotted to solid.

• f(x + 5) + 3

• f(x +3) + 5

• f(x - 5) + 3

• f(x - 3) + 5

What are the transformations?
y=(x-2)³+4

• Horz shift right 2      Vert shift up 4

• Horz shift left 2    Vert shift up 4

• Horz shift right 2      Vert shift down 4

• Horz shift left 2      Vert shift up 4

Tags

CCSS.HSF.BF.B.3

• Left 2, Down 2, Vertical Stretch
• Right 2; Up 1; 
• Vertical Stretch; Right 2; Up 1
• Left 2; Down 2;

• Left 2; Down 1
• Reflection over x-axis; Left 2; Up 1
• Reflection over x-axis; Left 2; Down 1
• Reflection over y-axis; Right 2; Down 1

Tags

CCSS.HSF.BF.B.3

• f(x) = −(x−2)³−1
• f(x) = −(x+2)³−1
• f(x) = −(x−2)³ + 1
• f(x) = −(x+2)³ + 1

Identify the vertex of f(x) = -2(x+1)² + 3

• (h,k)

• (3, 1)

• (-1,-3)

• (-1,3)

• 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

Tags

CCSS.HSF-IF.C.7A