+0  
 
+1
76
1
avatar+604 

The quadratic $-x^2+2x-4$ can be written in the form $a(x+b)^2+c$, where $a$, $b$, and $c$ are constants. What is $a+b+c$?

gueesstt  May 4, 2018

Best Answer 

 #1
avatar+19344 
+3

The quadratic $-x^2+2x-4$ can be written in the form $a(x+b)^2+c$,
where $a$, $b$, and $c$ are constants.
What is $a+b+c$?

 

\(\begin{array}{|rcll|} \hline && -x^2+2x-4 \\ &=& -(x^2-2x)-4\\ &=& -\left((x-1)^2-1 \right) - 4 \\ &=& -(x-1)^2 +1 - 4 \\ &=& -(x-1)^2 -3 \quad & | \quad a(x+b)^2+c \\ &&& |\quad a=-1 \\ &&& |\quad b=-1 \\ &&& |\quad c=-3 \\ &&& |\mathbf{a+b+c} = -1-1-3 \mathbf{= - 5 } \\ \hline \end{array} \)

 

 

laugh

heureka  May 4, 2018
Sort: 

1+0 Answers

 #1
avatar+19344 
+3
Best Answer

The quadratic $-x^2+2x-4$ can be written in the form $a(x+b)^2+c$,
where $a$, $b$, and $c$ are constants.
What is $a+b+c$?

 

\(\begin{array}{|rcll|} \hline && -x^2+2x-4 \\ &=& -(x^2-2x)-4\\ &=& -\left((x-1)^2-1 \right) - 4 \\ &=& -(x-1)^2 +1 - 4 \\ &=& -(x-1)^2 -3 \quad & | \quad a(x+b)^2+c \\ &&& |\quad a=-1 \\ &&& |\quad b=-1 \\ &&& |\quad c=-3 \\ &&& |\mathbf{a+b+c} = -1-1-3 \mathbf{= - 5 } \\ \hline \end{array} \)

 

 

laugh

heureka  May 4, 2018

21 Online Users

New Privacy Policy (May 2018)
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  Privacy Policy