The cross section of the roof of a storage building shown in the figure to the right is hyperbolic with the horizontal beam passing through the focus. Find the equation of the hyperbola such that its center is at the origin. 17 m 42 m The equation for a hyperbola centered at the origin that can open downward is a2 = 1. The vertex of the hyperbola is located at b2 the peak of the roof and the foci is located at the middle of the horizontal beam. The equation of the roof hyperbola is ||.

A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 20 mm halfway across a horizontal distance of 160 mm.Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work.Part B: Identify the focus, directrix, and axis of symmetry of the parabola.