Hello, Veronica1999!
A quarter turn is a 90 degree rotation.
If the counterclockwise quarterturn centered at (3,2) is applied to (7,1),
. . what are the coordinates of the image?
What are the image coordinates when this transformation
. . is applied to a general point (x,y)?
We have the point $\displaystyle A(3,2)$ and any point $\displaystyle P(x,y)$
Code:
 y2
 Q *   *
 :
 :
 : x3
 :
 :
 :P
 *(x,y}
 * :
 * :y2
 * :
 A *        *
 (3,2) x3
+

Going from $\displaystyle A$ to $\displaystyle P$, we move $\displaystyle x\!\!3$ units right and $\displaystyle y\!\!2$ up.
Going from $\displaystyle P$ to $\displaystyle Q$, we move $\displaystyle x\!\!3$ units up and $\displaystyle y\!\!2$ left.
. . (I hope you understand why.)
Therefore, point $\displaystyle Q$ is at: .$\displaystyle (x\!\!y\!+\!2,\:x\!+\!y\!\!3)$