Functions f(x) and g(x) are shown below:

f(x) = x^2
g(x) = x^2 + 8x + 16

In which direction and by how many units should f(x) be shifted to obtain g(x)?

A. Left by 4 units
B. Right by 4 units
C. Left by 8 units
D. Right by 8 units

Question

Functions f(x) and g(x) are shown below:

f(x) = x^2
g(x) = x^2 + 8x + 16

In which direction and by how many units should f(x) be shifted to obtain g(x)?

A. Left by 4 units 
B. Right by 4 units  
C. Left by 8 units 
D. Right by 8 units

anonymous · Answer

does it help to know that 
$$g(x)=x^2+4x+16$$ is a perfect square, namely $$g(x)=(x+4)^2$$?

anonymous · Answer

@satellite73 Yes, thank you!