Final answer:
To find A, B, and C, we plug in the values of x into the equation y = x² - 3x - 2. The resulting values are A = 2, B = -2, and C = -2.
Step-by-step explanation:
The question asks you to complete a table of values for the quadratic equation y = x² - 3x - 2 by finding the missing values represented by A, B, and C when different x values are plugged into the equation.
Let's calculate the values step by step.
- For x = -1: y = (-1)² - 3(-1) - 2 = 1 + 3 - 2 = 2, so A = 2
- For x = 0: y = (0)² - 3(0) - 2 = 0 - 0 - 2 = -2, so B = -2
- For x = 3: y = (3)² - 3(3) - 2 = 9 - 9 - 2 = -2, so C = -2
The completed table with the values would look like this:
xY
-12
0-2
1
2
3-2
-4
4