What is the vertex form of #y=−x^2 − 7x + 1 #?
The Vertex Form
We start from the given and do the "Completing the Square Method"
factor out the
Compute the number to be added and subtracted using the numerical coefficient of x which is the 7. Divide the 7 by 2 and square the result,...that is
the first three terms inside the parenthesis forms a PST-perfect square trinomial.
simplify by multiplying the -1 back and removing the grouping symbol
Let us form the Vertex Form
Kindly see the graph
God bless ....I hope the explanation is useful.