Can a variable be a constant

No

Step-by-step explanation:

A variable is always denoted with a symbol (commonly x), and a variable means that it can change based on what you plug into the symbol

Constants must always stay the same, so variables can't be constants and constants can't be variables

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

ye

step-by-step explanation: