Question

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

Answer 1

I'm guessing the equation is meant to be ...
\[y=(x-5)^2+10\]
To get the domain, ask yourself what values of x would be valid input for this equation.
To get the range, observe that squaring a number is always greater than or equal to 0.

Answer 2

If you weren't able to find the answer yet, it might help to draw a graph.

For this equation the graph would be a parabola that has its vertex at (5,10).