Explain two different strategies that you could use to determine the equation of the axis of symmetry defined by y = -2x^2 + 16x - 24. Which strategy do you prefer? Explain why.

one way - solve for y=0, and then you know the axis is midway between the roots

another way - remember that for y=ax^2+bx+c, the axis of symmetry is at x = -b/2a

Did you know?

Did you know that there are multiple strategies you can use to determine the equation of the axis of symmetry? One way is to directly use the formula -b/2a, where b represents the coefficient of the x-term and a represents the coefficient of the x^2 term. Another strategy is to find the x-coordinate of the vertex by using the formula x = -b/2a, and then substitute it into the original equation to find the corresponding y-coordinate. Personally, I prefer using the formula directly, -b/2a, to determine the equation of the axis of symmetry. This strategy is quicker and simpler, as it gives you the x-coordinate of the vertex directly without the need for additional calculations. It also helps in quickly identifying the axis of symmetry without the risk of potential errors that might occur when substituting values into the original equation.