Hyperbola asymptotes and applications

Practice hyperbola asymptotes, guide rectangles and geometric applications. Connect horizontal and vertical standard forms to asymptote slopes, reconstruct translated equations, and compare conjugate hyperbolas without swapping parameters incorrectly. Applied single-select and multiselect tasks include signal-distance constraints and a cooling-tower cross-section model. Worked explanations distinguish asymptotic guidance from exact points on the curve and test whether supplied information determines a unique model.