The graph of the equation y=ax2+bx+c, where a,b, and c are constants, is a parabola with axis of symmetry x=−3 Find ba.
The axis of symmetry can be found at x=−b2a, and we know that x=−3, so −b2a=−3. We can now use algebraic manipulation to solve in terms of ba.
−b2a=−3b2a=3ba=6