Question

Hello! I'm stuck in answering what the Range, Domain of a sideways parabola. Picture attached.

Answer 1

`\begin{gathered} x=y^2-2 \\ \text{Domain:}\lbrack-2,\infty) \\ \text{Range:}(-\infty,\infty) \end{gathered}`

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:

`x=y^2-2`

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:

`\begin{gathered} \text{Domain:}\lbrack-2,\infty) \\ \text{Range:}(-\infty,\infty) \end{gathered}`