Determine the domain of the following graph

Domain: [-8. 4]

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

From the graph, we can see that our x-values span from -8 to 4. Since both are closed dot, they are inclusive in the domain:

[-8. 4] or -8 ≤ x ≤ 4

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

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8