ANSWER:
[tex]\begin{gathered} x=y^2-2 \\ \text{Domain:}\lbrack-2,\infty) \\ \text{Range:}(-\infty,\infty) \end{gathered}[/tex]STEP-BY-STEP EXPLANATION:
It is a parabola that opens to the right side, which means that it has the form of y^2, it is also moved 2 units to the left, therefore, we must subtract 2 units from the function and it would look like this:
[tex]x=y^2-2[/tex]The domain is the input values of a function, in this case it would be the interval of values that x can take and the range is the output values, that is, the interval of values that y can take.
Therefore:
[tex]\begin{gathered} \text{Domain:}\lbrack-2,\infty) \\ \text{Range:}(-\infty,\infty) \end{gathered}[/tex]