Answer:
1. <em>Axis of symmetry</em>: x = 3
2. <em>Vertex:</em> (3,5)
3. <em>Solution of the equation</em>:
<u />
                
Explanation:
<u>1. Equation:</u>
     
<u>2. </u><em><u>Axis of symmetry:</u></em>
That is the equation of a parabola, whose standard form is:
                  
Where:     
                  
The axis of symmetry is the vertical line with equation:
                
Substitute  
           ![x=-6/[(2)(-1)]=-6/(-2)=3](https://tex.z-dn.net/?f=x%3D-6%2F%5B%282%29%28-1%29%5D%3D-6%2F%28-2%29%3D3)
Thus, the axis of symmetry is:
             
<em><u>3. Vertex</u></em>
<em><u /></em>
The x-coordinate of the vertex is equal to the axys of symmetry, i.e x = 3.
To find the y-xoordinate, substitute this value of x into the equation for y:
                
Therefore, the vertex is (3, 5)
<u>4. Find the x-intercepts</u>
The x-intercepts are the roots of the equation, which are the points wher y = 0.
         
Use the quadratic equation:
        
<u>5. Find the y-intercept</u>
<u />
The y-intercet is the value of y when x=0:
          