transformations of functions

If the blue function is f(x)=x², then the red function must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

The graph of this square root function has which type(s) of reflection:

 $y=-\sqrt{x-2}+1$  

I.  horizontal (over x-axis)

II. vertical (over y-axis)

• I only

• II only

• I and II
  

• Neither I nor II

The constant "4" in the quadratic function:

 $y=4\left(x+1\right)^2-3$ 
produces: 

• A vertical stretch by a factor of 4

• A vertical compression by a factor of 1/4

• A horizontal stretch by a factor of 4
  

• A horizontal compression by a factor of 1/4

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, the red must be

• g(x)=(x+3)²

• g(x)=(x-3)²

• g(x)=x²+3

• g(x)=x²-2