Final answer:
The question primarily discusses the construction of a table and graph for the linear equation y = 9 + 3x by inputting various 'x' values and calculating the corresponding 'y' values, with 'b' being the y-intercept and 'm' being the slope.
Step-by-step explanation:
In the equation y = 3x^2 + 12x + 13, specifically mentioned in the question, the value of 'a' is indeed 3, referring to the coefficient of the x^2 term in a quadratic equation. However, the question then shifts to discussing a linear equation y = 9 + 3x, where 'b' is the y-intercept set to 9, and 'm' is the slope set to 3. To create a Table A1 for this line, one would simply input various 'x' values to calculate the corresponding 'y' values.
For example, if 'x' is 0, then 'y' equals 9+3(0), which results in 'y' equaling 9. With each increase in 'x', 'y' will increase by 3 times the 'x' value. These (x, y) points are then plotted on a graph to illustrate the line as depicted in Figure A1.