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A parabola with equation y = x^2 + bx + c  passes through the points (-1,-11) and (3,18). What is c?

 Oct 14, 2020
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A parabola with equation y = x^2 + bx + c passes through the points (-1,-11) and (3,18). What is c?

 

Hello Guest!

 

\(y=x^2+bx+c\\ P_1(-1,-11)\\ P_2\ (3,18)\)

 

\(-11=1-b+c\\ 18=9+3b+c\\\)

\(c=-11-1+b=18-9-3b\\ 4b=18-9+1+11\)

\(b=5.25\)

 

\(c=18-9-3b\\ c=18-9-3\cdot 5.25\)

\(c=-6.75\)

 

The parabola has the equation \(y=x^2+5.25x-6.75\)

 
 Oct 14, 2020

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