Function Transformations

What is the equation of this graph?

• f(x) = (x -5)² + 1
• f(x) = (x - 1)² - 5
• f(x) = (x + 1)² - 5
• f(x) = (x + 5)² +1

Choose the equation that best matches the graphed function.

Describe the transformation that occurred.

f(x) = x³ + 2

• Down 2

• Left 2

• Up 2

• Right 2

Which of the following is the equation for the cubic function graphed above

• $y=\left(x+4\right)^3+3$

• $y=\left(x+4\right)^3-3$

• $y=\left(x-4\right)^3+3$

• $y=\left(x-4\right)^3-3$

Identify the equation of the transformed graph.

• $f\left(x\right)\ =\ \left|x+2\right|$

• $f\left(x\right)\ =\ \left|x+2\right|+2$

• $f\left(x\right)\ =\ \left|x-2\right|+2$

• $f\left(x\right)\ =\ \left|x-2\right|$

What function best describes this graph?

• $f\left(x\right)=-\sqrt{x+4}-2$

• $f\left(x\right)=\sqrt{x-4}-2$

• $f\left(x\right)=-\sqrt{x-4}-2$

• $f\left(x\right)=\sqrt{x+4}+2$

Describe the transformation

• right 9

• left 9

• horizontal stretch by 9

• down 9

Which of the following is the function shown in the graph?

• 
• 
• 
• 

Choose the equation that best matches the graphed function.

Which function is graphed?

• f(x) = 2|x + 2| -4
• f(x) = 2|x - 4| + 2
• f(x) = |x + 2| - 4
• f(x) = -2|x - 4|