Question

What is the vertex of the graph y= x^2 + 6x - 5

Answer 1

we are given

$y= x^2 + 6x - 5$

Firstly ,we can find equation in vertex form

so, we will complete x square

$y= x^2 + 6x+3^2-3^2 - 5$

$y= (x+3)^2-3^2 - 5$

$y= (x+3)^2-14$

now, we can compare it with vertex form of equation

$y= (x-h)^2+k$

we can find h and k

$h=-3 , k=-14$

so, vertex is

$(h,k)=(-3,-14)$.............Answer