Transformations of Linear Functions

• The graph of g(x) is a horizontal stretch of the graph of f(x)

• The graph of g(x) is a horizontal shrink of the graph of f(x)
  

• The graph of g(x) is a vertical stretch of the graph of f(x)

• The graph of g(x) is a vertical shrink of the graph of f(x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

• The graph of g(x) is a horizontal stretch of the graph of f(x)

• The graph of g(x) is a horizontal shrink of the graph of f(x)
  

• The graph of g(x) is a vertical stretch of the graph of f(x)

• The graph of g(x) is a vertical shrink of the graph of f(x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.2

• The graph of g(x) is a reflection in the x-axis of the graph of f(x)

• The graph of g(x) is a reflection in the y-axis of the graph of f(x)
  

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

• The graph of g(x) is a reflection in the x-axis of the graph of f(x)

• The graph of g(x) is a reflection in the y-axis of the graph of f(x)
  

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.5

f(x) = 3x-2, g(x)=f(x+3)

• The graph of g(x) is a vertical translation of 3 units down of the graph of of f(x)

• The graph of g(x) is a vertical translation of 3 units up of the graph of of f(x)

• The graph of g(x) is a horizontal translation of 3 units left of the graph of of f(x)

• The graph of g(x) is a horizontal translation of 3 units right of the graph of of f(x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

f(x) = x/3 - 3, g(x) = f(x) + 3

• The graph of g(x) is a vertical translation of 3 units down of the graph of of f(x)

• The graph of g(x) is a vertical translation of 3 units up of the graph of of f(x)

• The graph of g(x) is a horizontal translation of 3 units left of the graph of of f(x)

• The graph of g(x) is a horizontal translation of 3 units right of the graph of of f(x)

Tags

CCSS.HSF.BF.B.3

f(x) = -2x+1, g(x) = f(x) - 3

• The graph of g(x) is a vertical translation of 3 units down of the graph of of f(x)

• The graph of g(x) is a vertical translation of 3 units up of the graph of of f(x)

• The graph of g(x) is a horizontal translation of 3 units left of the graph of of f(x)

• The graph of g(x) is a horizontal translation of 3 units right of the graph of of f(x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

f(x) = -x/4+2, g(x) = f(x-3)

• The graph of g(x) is a vertical translation of 3 units down of the graph of of f(x)

• The graph of g(x) is a vertical translation of 3 units up of the graph of of f(x)

• The graph of g(x) is a horizontal translation of 3 units left of the graph of of f(x)

• The graph of g(x) is a horizontal translation of 3 units right of the graph of of f(x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

• The graph of g(x) is a horizontal stretch of the graph of f(x)

• The graph of g(x) is a horizontal shrink of the graph of f(x)
  

• The graph of g(x) is a vertical stretch of the graph of f(x)

• The graph of g(x) is a vertical shrink of the graph of f(x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

• The graph of g(x) is a horizontal stretch of the graph of f(x)

• The graph of g(x) is a horizontal shrink of the graph of f(x)
  

• The graph of g(x) is a vertical stretch of the graph of f(x)

• The graph of g(x) is a vertical shrink of the graph of f(x)

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2