What is the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k?
16 must be factored from 18x + 14
x must be factored from 6x2 + 18x
6 must be factored from 6x2 + 14
6 must be factored from 6x2 + 18x

Option D, 6 must be factored from

Step-by-step explanation:

Given :

To find : The given equation in the form    

Solution :

Now, we re-write the given equation

To covert it into vertex form where (h,k) represents the vertex.

First step is to take 6 common from

i.e,      

Now, further step is by completing the square,

The required form is

Where, a=6,

Therefore, Option D is correct, 6 must be factored from

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step-by-step explanation: