Complete the table for the given function y = x^2+ -3
Show work aswell please
A -3, -2, 1, 6
B 3,4,7,12
C 0, 1, 4,9
D None of the above
To complete the table for the function y = x^2 - 3, we need to substitute each given value of x into the function and evaluate the corresponding value of y. The completed table would look like:
| x | y = x^2 - 3 |
|---|-------------|
| -3 | 6 |
| -2 | 1 |
| 1 | -2 |
| 6 | 33 |
- For A, we substitute -3, -2, 1, and 6 into the function and get the values 6, 1, -2, and 33, respectively. These values match with the completed table, so option A is correct.
- For B, we substitute 3, 4, 7, and 12 into the function and get the values 6, 13, 46, and 141, respectively. These values do not match with the completed table, so option B is incorrect.
- For C, we substitute 0, 1, 4, and 9 into the function and get the values -3, -2, 9, and 78, respectively. These values do not match with the completed table, so option C is incorrect.
- Therefore, the correct answer is A.