Final answer:
The quadratic equation y = x^2 + 12x + 32 represents a parabolic curve. The roots can be found by setting y equal to zero and solving for x. The vertex can be found using the formula x = -b / (2a).
Step-by-step explanation:
The quadratic equation y = x^2 + 12x + 32 represents a parabolic curve. The quadratic equation y = x^2 + 12x + 32 represents a parabolic curve. The roots can be found by setting y equal to zero and solving for x. The vertex can be found using the formula x = -b / (2a). To find the roots of the equation, we set y equal to zero and solve for x. The roots correspond to the x-values where the graph intersects the x-axis.
To find the vertex of the parabola, we use the formula x = -b / (2a) where a, b, and c are the coefficients of the equation. The vertex represents the highest or lowest point on the parabola.