Transformations of Functions

f(x) = 5x² + 2

• Stretch of 5
  Up 2
• Shrink of 5
  Up 2
• Stretch of 5
  Down 2
• Shrink of 5
  Down 2

. 
If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5
• g(x)=x²+5
• g(x)=(x-5)²
• g(x)=(x+5)²

. 
If the blue is f(x)=x^2, the red must be

• g(x)=(x+3)²
• g(x)=(x-3)²
• g(x)=x²+3
• g(x)=x²-2

Find the equation of the transformed graph

• $y=x^2+3$

• $y=\left(x+3\right)^2$

• $y=\ x^2-3$

• $y=\left(x-3\right)^2$

Find the equation of the transformed graph

• $y=x^2+3$

• $y=\left(x+3\right)^2$

• $y=\ x^2-3$

• $y=\left(x-3\right)^2$

• $y=\ \left|x\right|\ -\ 1$

• $y=\ -\ \left|x\right|\$

• $y=\ \left|x\right|\$

• $y=\ \left|x-1\right|$

• $y=\ \left|x\right|\ +\ 3$

• $y=\ \left|x\right|-\ 3$

• $y=\ \left|x+3\right|\$

• $y=\ \left|x-3\right|$

• $y=\ \left|x\right|\ +\ 3$

• $y=\ \left|x\right|-\ 3$

• $y=\ \left|x+3\right|\$

• $y=\ \left|x-3\right|$

Does the following shift up or shift down from the parent function y = |x|?
y = |x| - 8

• Shift up
• Shift down

Does the following get wider  or skinnier from the parent function y = |x|?
y = 5|x| 

• Wider
• Skinnier