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

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)