Given f(x)=x2+14x+40. enter the quadratic function in vertex form in the box.

For this case we have an equation of the form:
 
 This equation in vertex form is:
 
 where (h, k) is the vertex of the parabola.
 We have the following function:
 
 We look for the vertice.
 For this, we derive the equation:
 
 We equal zero and clear the value of x:
 
 Substitute the value of x = -7 in the function:
 
 Then, the vertice is:
 
 Substituting values we have:
 
 
 The quadratic function in vertex form is: