# What is the vertex form of #y=−x^2 − 7x + 1 #?

##### 1 Answer

The Vertex Form

#### Explanation:

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

graph{(x- -7/2)^2=-(y-53/4)[-30,30,-15,15]}

God bless ....I hope the explanation is useful.