Linear Transformations

 $g\left(x\right)=f\left(x\right)+2$  

• Shifted up 2 units

• Shifted down 2 units

• Shifted right 2 units

• Steeper

Tags

CCSS.HSF.BF.B.3

 $h\left(x\right)=f\left(x\right)-5$  

• Shifted down 5 units

• Shifted up 5 units

• Shifted left 5 units

• Less steep

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

 $g\left(x\right)=f\left(x-3\right)$  

• Shifted right 3 units

• Shifted left 3 units

• Shifted up 3 units

• Less Steep

Tags

CCSS.HSF.BF.B.3

 $h\left(x\right)=f\left(x+4\right)$  

• Shifted left 4 units

• Shifted right 4 units

• Shifted down 4 units

• Steeper

Tags

CCSS.HSF.BF.B.3

 $g\left(x\right)=5f\left(x\right)$  

• Steeper

• Less Steep

• Shifted up 5 units

• Shifted down 5 units

Tags

CCSS.HSF.BF.B.3

 $h\left(x\right)=\frac{4}{3}f\left(x\right)$  

• Steeper

• Less Steep

• Shifted right $\frac{4}{3}$   units

• Shifted left  $\frac{4}{3}$   units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

 $g\left(x\right)=0.6f\left(x\right)$  

• Less Steep

• Steeper

• Shifted right 0.6 units

• Shifted left 0.6 units

Tags

CCSS.HSF.BF.B.3

 $h\left(x\right)=\frac{1}{4}f\left(x\right)$  

• Less Steep

• Steeper

• Shifted up  $\frac{1}{4}$  units

• Shifted down  $\frac{1}{4}$  units

Tags

CCSS.HSF.BF.B.3

 $g\left(x\right)=-f\left(x\right)$ 

• Reflection

• Less Steep

• Steeper

• Shifted down 1 unit

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

 $h\left(x\right)=f\left(x+8\right)-2$ 

• Shifted left 8 units, down 2 units

• Shifted right 8 units, down 2 units

• Shifted left 8 units, up 2 units

• Shifted right 8 units, up 2 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7