Question

The image shows a geometric representation of the
function f(x) = x2 - 2x - 6 written in standard form.
What is this function written in vertex form
f(x) = (x-1)²-7
f(x) = (x + 1)2 - 7
f(x) = (x - 1)2 - 5
f(x) = (x + 1)2 - 5

Answer 1

Correct option is A)  $f(x) = (x-1)^2-7$ .

Step-by-step explanation:

Here we have , The image shows a geometric representation of the  function f(x) = x^2 - 2 x - 6 written in standard form.We need to find What is this function written in vertex form . Let's find out:

Basically we have a function $f(x) = x^2 - 2x - 6$  , and we need to convert it into perfect square as:

⇒  $f(x) = x^2 - 2x - 6$

Adding & subtracting 1 ,

⇒  $f(x) = (x^2 - 2x - 6)+1-1$

⇒  $f(x) = (x^2 - 2x + 1)-1-6$             { $(x-1)^2=x^2-2x+1$  }

⇒  $f(x) = (x^2 - 2x + 1)-7$

⇒  $f(x) = (x-1)^2-7$

Therefore , Correct option is A)  $f(x) = (x-1)^2-7$ .

Answer 2

Answer:

f(x) = (x –1)2 – 7  (A)            

Step-by-step explanation: