Final answer:
The height of the arch is 0 feet and the width is 0 feet.
Step-by-step explanation:
The equation provided, y = -0.0012x², represents the arch support of a bridge, where x and y are measured in feet. The coefficient of x², -0.0012, determines the shape of the arch. Since the coefficient is negative, the arch opens downwards.
The height of the arch is the maximum y-value, which occurs at the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x² and x, respectively. In this case, a = -0.0012, b = 0, so the vertex occurs at x = 0. The y-coordinate of the vertex can be found by substituting the x-coordinate into the equation. Therefore, the height of the arch is 0 feet.
The width of the arch can be determined by finding the x-values where y = 0. To do this, solve the equation -0.0012x² = 0. The solutions are x = 0 and x = 0. Therefore, the width of the arch is 0 feet.