Transformations

Describe the transformations of the following function: f(x) = |x+6| - 4

• Left 6, Down 4

• Right 6, Down 4

• Right 6, Up 4

• Left 6, Up 4

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

• (-2, 5)
• (-6, 5)
• (-4, 3)
• (-4, 7)

The result of a transformation is called...

• Pre-image

• Image

Troy graphed the line of the equation f(x) = 5x + 2. Sarah
graphed the line of the equation g(x) = 5x – 2 on the same
coordinate plane. Which of the following statements best
describes the line that Sarah graphed?

• Less steep by 2
• Vertical shift up 4
• Vertical shift down 4
• Steeper by 2

What transformation best describes the function?

• stretch 
• shrink 
• reflection
• shift down

What is the arrow notation for this translation?

•  (x , y) --> (x - 1, y  + 3)

•   (x , y) --> (x + 3, y  + 1)

•  (x , y) --> (x + 3, y  - 1)

•  (x , y) --> (x + 1, y  -  3)

Which rule best describes the dilation applied to Circle I to create Circle II?

• 
• 
• 
• 

 $f\left(x\right)=x^3$  
Given the cubic parent function which transformations would be necessary to change the inflection point to (3, -13)?  SELECT ALL THAT APPLY.

• Shift right 3

• Shift down 13

• Shift left 3

• Shift up 13

• Left 9 and Up 4

• Right 9 and Up 4

• Left 9 and Down 4

• Right 9 and Down 4

What transformation is happening?

(x, y) ----> (x + 2, y - 3)

• shift up 2, left 3

• shift right 2, up 3

• shift right 2, down 3

• shift left 3, right 2