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

Correct option is A)   .

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  , and we need to convert it into perfect square as:

⇒  

Adding & subtracting 1 ,

⇒  

⇒               {  }

⇒  

⇒  

Therefore , Correct option is A)   .

step-by-step explanation:

the true statements are:

r = set of real numbers

n = set of natural numbers, 1,2,

w = n u{0} = {0,1,}

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )