# Find the Domain and Range f(x)=(x-2)^2-9

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
Set-Builder Notation:
Locate the vertex of the parabola.
Use the vertex form, , to determine the values of , , and .
Since the value of is positive, the parabola opens up.
Opens Up
Find the vertex .
The range of a parabola that opens up starts at its vertex and extends to infinity.
Interval Notation:
Set-Builder Notation:
Determine the domain and range.
Domain:
Range:
Find the Domain and Range f(x)=(x-2)^2-9