Given that the quadratic equation is 
We need to determine the y - value of the vertex.
<u>The x - value of the vertex:</u>
The x - value of the vertex can be determined using the formula,

where 
Substituting these values, we get;

Simplifying the terms, we get;


Thus, the x - value of the vertex is -5.
<u>The y - value of the vertex:</u>
The y - value of the vertex can be determined by substituting the x - value of the vertex ( x = -5) in the equation 
Thus, we get;

Simplifying the values, we have;


Thus, the y - value of the vertex is 49.