we know that the quadratic function in vertex form is--------------> y=a*(x-h)²+k
we have f(x)=x²+14x+40 y=x²+14x+40
We can convert to vertex form by completing the
square on the right hand side y-40=x²+14x y-40-49=x²+14x-49------> subtract 49 on BOTH sides to
preserve the equality y-40=(x²+14x+49)-49 y=(x²+14x+49)-49+40---------> y=(x+7)²-9
the answer is the quadratic function in vertex form-----------> y=(x+7)²-9 the vertex is the point (-7,-9)
