Transformations of Functions

What type of function is shown?

• Exponential 
• square root
• quadratic
• cube root

What type of function is shown?

• linear
• quadratic
• square root
• absolute value

What type of function is shown?

• cube root
• square root
• logarithm
• exponential

What type of function is shown?

• absolute value
• quadratic
• linear
• exponential

What type of function is shown?

• exponential
• linear
• quadratic
• square root

Which parent function matches the graph?

• y = |x|
• y = ∛(x)
• y = x²
• y = a⋅b^x

What is the equation of the PARENT  function?

• f(x) = 2^x
• f(x) = x³
• f(x) = |x|
• f(x) = x

Which parent function matches the graph? 

• f(x) = a⋅b^x
• f(x) = ∛(x)
• f(x) = √(x)
• f(x) = x²

Describe the transformation:

 $f\left(x\right)=3x^2$  

• Vertical Stretch by a Factor of 3

• Vertical Compression by a Factor of 3

• Horizontal Stretch by a Factor of  $\frac{1}{3}$  

• Horizontal Compression by a Factor  $\frac{1}{3}$  

Describe the transformation:

 $g\left(x\right)=\left(x-3\right)^2$  

• Shift 3 units up

• Shift 3 units down

• Shift 3 units left

• Shift 3 units right