What is the image of a for a 270° counterclockwise rotation about c?

Option A). (7, -1)

Step-by-step explanation:

In the given image if A is rotated 270° counterclockwise about C then we have to tell the new position of A on the graph.

After 270° counterclockwise rotation A will land in quadrant 4 equidistant from point C and parallel to the x - axis.

So new coordinates of point A will be (3+4, -1) = (7, -1).

Therefore Option A). (7, -1) will be the answer.

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!