The axes in the coordinate grid at the right represent the walls of a bedroom. One

corner of the room is at the origin. What is

the distance from that corner of the room to 2 the corner of the bed that is farthest away? If necessary, round to the nearest tenth of a foot.

What is the ratio of the change in y-values to the change in x-values for this function? a) 1: 13 b) 2: 5 c) 5: 2 d) 13: 1

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12

Set $r$ is a set of rectangles such that (1) only the grid points shown here are used as vertices, (2) all sides are vertical or horizontal and (3) no two rectangles in the set are congruent. if $r$ contains the maximum possible number of rectangles given these conditions, what fraction of the rectangles in set $r$ are squares? express your answer as a common fraction.