Function Transformations (Asynchronous)

Multiple Choice

What type of transformation does the function $$f\left(x\right)=\left|x-8\right|$$   have from the parent function?

• Horizontal Shift 8 units to the left

• Horizontal Shift 8 units to the right

• Vertical Shift 8 units down

• A vertical stretch by a factor of 8

Multiple Choice

What is the function equation?

• $$f\left(x\right)=x^3+4$$  

• $$f\left(x\right)=x^3-4$$  

• $$f\left(x\right)=\left(x+4\right)^3$$

• $$f\left(x\right)=\left(x-4\right)^3$$  

Multiple Choice

Which of the following functions has a vertical shift of 10 units up from their parent function?

• $$f\left(x\right)=\left(x+10\right)^3$$  

• $$g\left(x\right)=x^2-10$$  

• $$m\left(x\right)=\left|x+10\right|$$  

• $$p\left(x\right)=\sqrt[]{x}+10$$  

Multiple Choice

What is the function's equation?

• f(x) = |x+3|

• g(x)=|x| + 3

• h(x)=3|x|

• m(x)=|x| - 3

Multiple Choice

Which function is vertically stretched by a factor of 2.5?

• $$f\left(x\right)=2.5x^3$$  

• $$g\left(x\right)=2.5\ +\ x^2$$  

• $$f\left(x\right)=\sqrt[]{x}+2.5$$  

• $$r\left(x\right)=\left|x+2.5\right|$$  

Multiple Choice

Which of the following functions is NOT flipped upside down?

• $$f\left(x\right)=-\sqrt[]{x}$$  

• $$g\left(x\right)=-x^6$$  

• $$h\left(x\right)=-\left|x\right|$$  

• $$t\left(x\right)=x^2-1$$  

Multiple Choice

Which of the following is NOT a transformation for the function $$f\left(x\right)=-2\left(x+4\right)^2-1$$  ?

• A vertical stretch by a factor of 2

• Flipped upside down

• Horizontal shift 4 units to the right

• Vertical shift 1 unit down