Compare the graph of g(x) =x^2 +6 with the graph of f(x)=x^2

Step-by-step explanation:

If you know what g(x) looks like, you can find f(x). Every y point of g(x) is f(x) + 6.

The general point of g(x) is (x,f(x) + 6). That is the major difference. Just so you can see it visually, the both graphs are shown below.

red: f(x) = x^2

blue: f(x) = f(x) + 6 = x^2 + 6

green: x = 2  With the two points shown that intercept the two given functions.

Purple(?): x = - 2 with the two points shown that intercept the two given functions.

each side has a different length.  

step-by-step explanation: