In the graph , the vertex is a _____.

Write the equation  in focus-directrix form. 

You want to build a box with an open top out of a piece of cardboard that measures 20 inches by 30 inches. You do this by removing squares from each corner that are units wide. Which expressions represent the length, width, and height of the box? Select all that apply. 

What is the equation of the graph shown?  A coordinate plane is shown with the x-axis labeled from 0 to about 30 and the y-axis labeled from negative 5 to 5. A red curve appears only to the right of approximately x = 5, indicating a vertical asymptote near x = 5. Just to the right of this value, the graph is very high and decreases steeply. As x increases, the curve continues decreasing but flattens, passing below the x-axis near x = 10 and approaching about y = −5 by x = 30. The slope becomes less negative as the graph moves to the right.

What is the end behavior of the graph of  ? Select all that apply. 

What is the end behavior of the graph of  ?  Select all that apply. 

Which are x-intercepts or y-intercepts of the function  ?  Select all that apply. 

Identify all solutions to the equation: Be sure to check your answer by plugging in your value(s)

Which, if any is the horizontal or slant asymptote for the function  ?

What are the co-vertices of the ellipse  ? Select all that apply.