Functions Transformation

• Graph gets narrow

• Graph gets wider

• Graph shifts to the left

• Graph shifts to the right

If the original function is f(x), how will f(x-t) + s transform f(x)?

• One way stretch, parallel to x-axis, with scale factor 1/a

• One way stretch, parallel to y-axis, with scale factor a

• Translation of f(x) with vector (t , s)

• Reflection of f(x) in the x-axis

• Reflection of f(x) in the y-axis

f(x) = 7x - 1 and g(x) = 14x - 1 . What transformation happened?

• One way stretch, parallel to x-axis, with scale factor 1/2

• One way stretch, parallel to y-axis, with scale factor 2

• Translation of f(x) with vector (2 , 1)

• Reflection of f(x) in the x-axis

• Reflection of f(x) in the y-axis

Which transformation will occur if f(x) = x is replaced with 2f(x)?

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 1/2

• Vertical translation up by 2 units.

• Horizontal compression by a factor of 1/2

Which equation describes the transformation of shifting f(x)=x³ two units right?

• x³ + 2

• x³ - 2

• (x + 2)³

• (x - 2)³

Identify the transformation from the graph of f(x)=x² to the graph g(x)= -(x+5)² 

• shifted up five units
  reflection in x-axis

• shifted down five units
  reflection in x-axis

• shifted left 5 units
  reflection x-axis

• shifted right 5 units
  reflection x-axis

What is the parent function of f(x)=2(1/2)^x-7

• f(x)=2

• f(x)=(1/2)

• f(x)=2^x

• f(x)=(1/2)^x

What is the transformation of f(x)=2(1/2)^x-7

• stretch by 2

  down 7

• shrink by 1/2

  down 7

• stretch by 2

  up 7

• shrink by 1/2

  up 7

What is the parent function of f(x)=-1/3(2)^x+3

• f(x)=1/3

• f(x)=2

• f(x)=2^x

• f(x)=(1/3)^x

What is the transformation of f(x)=-1/3(2)^x+3

• reflect

  shrink by 1/3

  up 3

• shrink by 1/3

  up 3

• reflect

  stretch by 2

  up 3

• stretch by 2

  up 3