# How do you find the domain and range of #f(x) = (x + 5)^2 + 8#?

##### 1 Answer

**Domain: **

Using **Interval Notation: **

**Range: **

Using **Interval Notation: **

#### Explanation:

**Given: **

The **Vertex Form** of a quadratic function is:

**Vertex**.

**Note: **

Vertex is at :

**Note :**

If **Vertex** is a **Minimum Value**.

Since, **Vertex is **

Using **Interval Notation :**

Find **Domain :**

**Domain** of **set of all input values for which the given function is real and well-defined.**

**undefined points**.

The function does not have any **domain constraints**.

Therefore **domain** is given by

Using **Interval Notation :**

Hence, the required solutions are:

**Domain: **

Using **Interval Notation: **

**Range: **

Using **Interval Notation: **

Draw the graph of

Hope it helps.