what is the first step when rewriting y = 3x2 9x – 18 in the form y = a(x – h)2 k? 3 must be factored from 3x2 9x x must be fact
ored from 3x2 9x 9 must be factored from 9x – 18 3 must be factored from 3x2 – 18
2 answers:
Answer:
Option A - 3 must be factored from
Step-by-step explanation:
Given : Function
To find : What is the first step when rewriting in the form .
Solution :
To convert into the form we follow the steps as:
Function
Step 1- 3 must be factored from
Step 2 - Completing the square by adding and subtracting (square the half of 9)
Step 3- Solve
This is in the form
where, a= 3 , and
Therefore, Option A is correct.
3 must be factored from
Steps in rewriting :
y = 3 x² + 9 x - 18 = 3 ( x² + 3 x ) - 18 = 3 (( x² + 3 x + 9/4 ) - 9/4) - 18 =
= 3 ( x + 3/2 )² - 27/4 - 18 = 3 ( x + 3/2 )² - 99/4
Answer:
A ) 3 must be factored from 3 x² + 9 x.
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