Question

What is the domain and range of the quadratic equation `y = (x – 5)^2 + 10`?

Answer 1

`RR`
`[10,+infty)`

Explanation:

The domain is obviously `RR` since it is well defined everywhere. Since for all the vapes of `x` the factor `(x-5)^2` is always positive and zero if `x=5`, the range of the quadratic equation goes from the image of the minimum (`y(5)=10`) to infinity, so it is `[10,+infty)`