Transformation of Functions

If the original function is f(x), how will -f(x) 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

If the original function is f(x), how will f(-x) 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

If the original function is f(x), how will af(x) 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

If the original function is f(x), how will f(ax) 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) = 6x -x^2  and g(x) = x^2 - 6x. What transformation happened?

• 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) = x+2 and g(x) = -x +2 . What transformation happened?

• 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) = x+2 and g(x) = 2x + 4 . 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

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

• Translation of f(x) with vector (2 , 7)
  

• Translation of f(x) with vector (-2 , -7)

• Translation of f(x) with vector (-2 , 7)

• Translation of f(x) with vector (2 , -7)

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

• g(x)=x³+1

• g(x)=x³-1

• g(x)=(x-1)³

• g(x)=(x+1)³