**Answer and Explanation : **

**Given :** Function

**To find :** The vertex, axis of symmetry, maximum or minimum value, and the graph of the function.

**Solution : **

The quadratic function is in the form,

**On comparing,** , b=2 and c=1

**The vertex **of the graph is denote by (h,k) and the formula to find the vertex is

**For h, The x-coordinate of the vertex is given by,**

**For k, The y-coordinate of the vertex is given by,**

**The vertex of the function is (h,k)=(-2,-1)**

The x-coordinate of the vertex i.e. is the axis of symmetry,

So, (solved above)

**So, The axis of symmetry is x=-2.**

**The maximum or minimum point is determine by,**

**If a > 0 **(positive), then the parabola opens upward and the graph has a **minimum** at its vertex.

so, the parabola opens upward and the graph has a minimum at its vertex.

**The Minimum value is given at (-2,-1)**

**Now, We plot the graph of the function**

**At different points,**

**x y**

-4 1

-2 -1

0 1

**Refer the attached figure below.**