Find B And C Given That The Gragh Of Y=x^2+bx+c Passes Through (3,14) And (-4,7)
If a line passes through a given point, then the coordinates of the point must satisfy the equation
for y = x^2 + bx + c
for (3,14) --> 14 = 9 + 3b + c , or 3b + c = 5
for (-4,7) --> 7 = 16 - 4b + c , or -4b + c = -9
I would subtract the two equations,
7b = 14
b = 2
plug b = 2 into either equation to get c