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

Answer:

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

Step-by-step 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:

$6(x-\dfrac{3}{2})^2+\dfrac{1}{2}$

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

$h=\dfrac{3}{2}$ and  $k=\frac{1}{2}$.

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