Answer: Cu + 2AgNO3 -> 2Ag + Cu(NO₃)₂
Explanation: Assuming the teacher wants you to finish the other side of the balanced equation, here is how I would do it.
I would consider this a Single Replacement equation. This means Ag will be Replaced with Cu. Using the chart provided, it can be seen that (NO₃) has a charge of ⁻ ¹ . Therefore, it can be assumed that Ag as a ⁺¹ charge as well. However, copper has a charge of ⁺² (we know this because there are 2NO3 in the first equation and therefore there needs to be 2 when copper replaces it) so when replacing Ag with Cu, some butterfly subscript multiplication needs to happen like the picture attached. So, finally, the equation is:
Cu + 2AgNO3 -> 2Ag + Cu(NO₃)₂