Z>/=3 on number line and if there is an empty circle on the number line it means is not included in solution set and filled circle on number means that it is included in the solution set Z means

When we have an empty circle in a point, this means that the value of the point is not included.

This would be used for something like:

x > a

The value a is not a solution, because x needs to be larger than a, then we should use the empty circle.

A filled circle is used when the value is included in the solutions.

This is used for inequalities like:

x ≥ a

Where x = a is a possible solution.

Then if we have te set:

Z ≥ 3

We should have a filled circle at the value 3.

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