Rotate each figure about the origin using the given angle.

See the attached picture:

  see below

Step-by-step explanation:

Rotation problems can be worked fairly easily if you have tracing paper or a transparency. Overlay the (semi-)transparent material on the given graph and trace the axes and figure. Then rotate the material according to the directions and copy the new position back to the graph.

(I find this much easier than trying to figure the coordinates.)

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2