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never [62]
3 years ago
14

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?
Mathematics
2 answers:
Degger [83]3 years ago
9 0
Y=(x-1)^2-7 This is this function in vertex form
Dominik [7]3 years ago
9 0

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


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