# What is the domain and range of #-(3/25)(x-26)^2#?

##### 1 Answer

Domain:

Range:

#### Explanation:

Your function is defined for any value of

In order to find the function's range, you need to take into account the fact that the aquare of an expression will **always be positive**, regardless of the sign of said expression.

This means that *minimum* when

Since you have a negative number multiplied by a square, the function will always have **negative values**, the only exception being the case when

#y = -3/25 * 0^2 = 0#

This means that the range of the function will essentially be

graph{-3/25 * (x-26)^2 [-40.84, 90.8, -48.74, 17.1]}