# How do you find the domain and range of #f(x) = (x + 8)^2 - 7#?

##### 1 Answer

Jan 7, 2018

#### Answer:

Inspect using the formula

#### Explanation:

From the equation given

h = -8

k = -7

From the original equation

graph{(x+8)^2-7 [-27.05, 12.95, -8.72, 11.28]}

Since x will keep increasing to infinity regardless of any x-axis transformations the domain will be the same as

Domain: All real numbers

However, since a minimum applies to the range, if the graph shifts in the y-axis the range will be different from

Range: y ≥ -7