Final answer:
By simplifying the expression x + y^2 with given values x = -3 and y = 4, we get 13, which is not present in any of the provided answer choices. This suggests there may be an error in the given options or the expression.
Step-by-step explanation:
The student's question is asking us to simplify an expression by substituting given values for the variables x and y. To do this, we need to perform the operations in the correct order, which is to calculate y to the power of 2 (y^2) first since it involves exponents, and then add the value of x.
For the values x = -3 and y = 4, the expression x + y^2 becomes:
- First, calculate y^2: 4^2 = 16
- Then, add x to y^2: -3 + 16
- The final answer is 13, which does not match any of the given options (a through d).
Thus, there might be an error in the given options or in the interpretation of the expression.