This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — I cannot physically draw the graph for you, but I can provide detailed instructions on how to draw it using the information from the previous steps. The relation is y = 2x^2 - 5x - 12. The completed table of values is: | x | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 | 5 | |---|----|----|----|---|---|---|---|---|---| | y | 21 | 6 | -5 | -12 | -15 | -14 | -9 | 0 | 13 | Here are the steps to draw the graph: Step 1: Prepare your graph paper. Draw a horizontal line for the x-axis and a vertical line for the y-axis. Label them 'x' and 'y' respectively. Step 2: Set up the scales. • For the x-axis: Mark every 2 cm as 1 unit. So, 2 cm will be 1, 4 cm will be 2, and so on. Mark values from -3 to 5. • For the y-axis: Mark every 2 cm as 5 units. So, 2 cm will be 5, 4 cm will be 10, 6 cm will be 15, etc. Mark values to cover the range from -15 to 21. Step 3: Plot the points from the table. Carefully plot each (x, y) coordinate pair on your graph paper: • (-3, 21) • (-2, 6) • (-1, -5) • (0, -12) • (1, -15) • (2, -14) • (3, -9) • (4, 0) • (5, 13) Step 4: Draw the curve. Once all points are plotted, draw a smooth curve that passes through all these points. This curve is the graph of the relation y = 2x^2 - 5x - 12. What's next? Send 'em!