What is the image of the point (-5, -9) after a rotation of 90° counterclockwise about the origin?

(9, -5)

Step-by-step explanation:

If you rotate a figure 90 degrees counterclockwise, the coordinates will go from (x, y) to (-y, x).

So, let's start out with -y. The y-value of (-5, -9) is -9, and the negative value of that is -(-9) or 9. That goes first in our point: (9, x.) Now, we just keep our x-value the way it is, -5, and put that in our y-value: (9, -5). And there's our point after a 90 degree counterclockwise rotation.

answer:

at time x=0 we have 1000, at time x=1 we have 2000, at time x=2 we have 4000.  

so that's an initial value of 1000 and a ratio of 2,

y = 1000 (2^x)

hope this !