Question

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

Answer 1

The first step is factoring out the 6 from the 6x2 + 18x. 

Answer 2

" 6 must be factored from
`6x^2 + 18x` "

Explanation:

We are given a equation as:

`y=6x^2+18x+14`

On expressing the given equation in terms of
`y=a(x-h)^2+k`

where h, k are real numbers; we get our quadratic equation as:

`6(x-(3)/(2))^2+(1)/(2)`

Here on comparing our equation with
`y=a(x-h)^2+k` we have :

`h=(3)/(2)` and
`k=(1)/(2)`.

This means that we have to first factor out '6' from the term
`6x^2+18x`