A building has an entry in the shape of a parabolic arch 96 ft high and 18 ft wide at the base, as shown below. A parabola opening down with a vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is ninety-six feet and its width from left to right is eighteen feet.

Find an equation for the parabola if the vertex is put at the origin of the coordinate system. (2 points)

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

Why can't my rank go i have 1723 points, but my rank is only at ambitious, which is only 250 points! like, (p.s. i know this isn't related to math, but i just don't know why it's doing this and i would really appreciate if someone could tell me whats going on with this)

The function below is written in vertex form or intercept form. rewrite them in standard form and show your work. y = -3(x-2)(x-4)