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Find the largest value of c such that -2 is in the range of  x^2 + 8x + c .

 Dec 23, 2020
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x^2  +  8x  +  c

 

This is  a parabola  that turns upward

 

The x coordinate of the  vertex  is    -8/2  = -4

 

So  we need to solve this

 

(-4)^2  + 8(-4)  + c  = -2

 

16  -32 +c  = -2

 

-16 + c  =-2

 

c =  14

 

See the graph here : https://www.desmos.com/calculator/bk8d4d0o0t

 

 

cool cool cool

 Dec 23, 2020

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