Question

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

Answer 1

Answer:  The answer is given below.

Step-by-step explanation:  The given equation is

$6x^2+18x+14.$

We are given to write this equation in the form

$y=a(x-h)^2+k.$

The required steps will be as follows:

$y=6x^2+18x+14\\\\\Rightarrow y=6(x^2+3x+\dfrac{9}{4})+18-\dfrac{27}{2}\\\\\\\Rightarrow y=6(x-\dfrac{3}{2})^2+\dfrac{36-27}{2}\\\\\\\Rightarrow y=6(x-\dfrac{3}{2})^2+\dfrac{9}{2},\\\\\\\textup{where}~a=6,~~h=\dfrac{3}{2}~~\textup{and}~~k=\dfrac{9}{2}.$

Thus, the first step is to take 6 common and try to write the quadratic expression involving 'x' in the form of a square.

Answer 2

Answer:

D) 6 must be factored from 6x^2+18x

Step-by-step explanation: