Identify Function Transformations

Identify the transformations.

• Shift right 4 and down 2

• Shift left 4 and up 2

• Shift right 4 and up 2

• Shift left 4 and down 2

How did the equation shift from the parent function?

y = f(x) + c

• Shifted up "c" units

• Shifted down "c" units

• Stretches vertically by a factor of "c"

• Shifted right "c" units

Describe the transformations to f(x).

g(x) = -f(2x)

• Vertical stretch by 2, reflection over the y-axis

• Horizontal stretch by 2, reflection over the y-axis

• Horizontal stretch by 2, reflection over the x-axis

• Horizontal shrink by 1/2, reflection over the x-axis

Describe the transformations to f(x).

g(x) = 2f(-x)

• Vertical shrink by 1/2, reflection over the x-axis

• Horizontal shrink by 1/2, reflection over the y-axis

• Vertical stretch by 2, reflection over the y-axis

• Horizontal stretch by 2, reflection over the x-axis

Describe the transformation from function f (blue) to g (red):

• shifted 1 unit right

• vertical shrink (less steep)

• vertical stretch (more steep)

• shifted 1 unit up

What was the transformation from parent function f(x) to g(x)?

• reflection over x-axis

• shifted up 2 units

• vertical stretch

• vertical shrink

What was the transformation from parent funtion f(x) to g(x)?

• vertical shrink, less steep

• vertical stretch, more steep

• shifted 2 units left

• shifted 2 units right

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

Shape Change: ​ (a)  

Horizontal Change ​ (b)  

Vertical Change: ​ (c)  

Parent Function: ​ (d)  

• Flip

• Vertical Stretch

• Horizontal Stretch

• Left 3

• Right 3

• Right 2

• Up 2

• Down 2

• Polynomial: Cubic

• Quadratic

What transformation occurred to y = x (more than one answer)

• vertical translation

• reflection

• vertical stretch

• vertical shrink

What transformation could have happened to y = 3/2x?

• reflection

• vertical translation

• vertical stretch

• vertical compression