If 1:5 equals 2:10 does it also equal 10:20?

No, it does not equal to 10:20. The ratio is 1 to 5. So it is impossible for it to be 10:20, it can either be 4:20 or 10:50.

Step-by-step explanation:

   1:5 times anything would get you 10:20 so no

Step-by-step explanation:

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2