+0  
 
+1
58
1
avatar+599 

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

mathtoo  Aug 6, 2018
 #1
avatar+88775 
+1

-x^2 + 2x - 4       let us complete the square....factor out a "-1"  and we have

 

- ( x^2 - 2x  + 4)        take 1/2 of -2  = -1, square it  = 1...add and subtract it inside the parentheses

 

- ( x^2 - 2x + 1  + 4  - 1)       factor the first three terms, simplify the rest

 

- [ ( x - 1)^2   + 3 )       apply the ngative back across the terms

 

- ( x - 1)^2  -3 

 

"a"  = -1

"b"  = -1

"c"  = -3

 

So

 

a + b + c  =    -1  +  -1  + -3  =   -5

 

 

cool cool cool

CPhill  Aug 7, 2018

7 Online Users

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.