Complete the table for the given function.
The first column in a table is titled x. The second column is titled with the equation y equals x squared plus left parenthesis negative 3 right parenthesis.
The first column shows the numbers 0, 1, 2, and 3. The second column is empty.
A. –3, –2, 1, 6
B. 3, 4, 7, 12
C. 0, 1, 4, 9
D. none of the above
To complete the table, we need to plug in each value of x into the equation y = x^2 - 3 and simplify.
When x = 0, we get y = 0^2 - 3 = -3.
When x = 1, we get y = 1^2 - 3 = -2.
When x = 2, we get y = 2^2 - 3 = 1.
When x = 3, we get y = 3^2 - 3 = 6.
So the completed table (ignoring the column headings) would be:
0 | -3
1 | -2
2 | 1
3 | 6
Therefore, the correct answer is A. -3, -2, 1, 6.