Question

The image shows a geometric representation of the function f(x)=x^2-2x-6 written in standard form. What is the function written in vertex form?

Answer 1

y=(x-1)^2-7 This is this function in vertex form

Answer 2

Answer:

$y=(x-1)^2-7$

Step-by-step explanation:

Given : Equation = $f(x)=x^2-2x-6$

To write in vertex form

Vertex form =  $y = a(x - h)^2+ k$

The given equation is in standard form $y=x^2-2x-6$

to convert into vertex form we can use completing the square,

step 1 : $y=x^2-2x-6$

step 2 : $y+6=x^2-2x$

step 3 : $y+6+1=x^2-2x+1$

step 4 : $y+7=(x-1)^2$

step 5 : $y=(x-1)^2-7$

It is a vertex form where a=1, h=1 , k=-7