transformation of functions

• Shift up 5 units

• Shift down 5 units

• Shift right 5 units

• Shift left 5 units

• Shift up 2 units

• Shift down 2 units

• Shift right 2 units

• Shift left 2 units

• Shift up 4 units

• Shift down 4 units

• Shift right 4 units

• Shift left 4 units

• Shift up 3 units

• Shift down 3 units

• Reflection over the y-axis

• Reflection over the x-axis

• Vertical stretch by a factor of ¼

• Vertical compression by a factor of ¼

• Vertical stretch by a factor of 8 

• Vertical compression by a factor of 8 

• Vertical stretch

• Vertical compression

• Translation 5 units right

• Translation 5 units left

• Reflection over the x-axis

• Translation 4 units left

• Translation 4 units up

• Translation 3 units left

• Translation 3 units down

• Translation 6 units right

• Translation 6 units left

• Translation 4 units up

• Translation 4 units down

. 
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