Math: A parabola with equation y=x(exponent)2+bx+c passes through the points (2,3) and (4,3). Find b and c?

the 2 is the exponent

Math: A parabola with equation y=x(exponent)2+bx+c passes through the points (2,3) and (4,3). Find b and c?
Using point 1:


3 = 4 + 2b + c


c = -2b-1 call this equation 1





Using point 2:


3 = 16 + 4b + c


c = -4b-13 call this equation 2





Subtracting E2 from E1 gives:


0 = 2b + 12


Solving, b = -6





c = -2b-1


c = 12-1


c = 11

dracaena