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
To draw the graph of y = x^2 - 2x - 2 using the given scale, follow these steps: Step 1: Set up the coordinate axes. Draw a horizontal x-axis and a vertical y-axis on graph paper. Label them x and y respectively. Step 2: Apply the given scales to the axes. On the x-axis: Mark every 2 cm interval as 1 unit. So, the major grid lines at 2 cm, 4 cm, 6 cm, from the origin will be labeled 1, 2, 3, to the right and -1, -2, -3, to the left. On the y-axis: Mark every 2 cm interval as 5 units. So, the major grid lines at 2 cm, 4 cm, 6 cm, from the origin will be labeled 5, 10, 15, upwards and -5, -10, -15, downwards. Step 3: Plot the points from the table. Using the table of values from the previous part: |c|c|c|c|c|c|c|c|c|c| x & -4 & -3 & -2 & -1 & 0 & 1 & 2 & 3 & 4 \\ y & 22 & 13 & 6 & 1 & -2 & -3 & -2 & 1 & 6 \\ Plot each (x, y) pair on your graph paper according to the scales defined in Step 2. For example, to plot (-4, 22): Move 4 units to the left on the x-axis (which is 4 × 2 cm = 8 cm to the left). Move 22 units up on the y-axis (which is (22)/(5) × 2 cm = 4.4 × 2 cm = 8.8 cm up). Step 4: Draw a smooth curve. Once all points are plotted, draw a smooth, continuous curve through them. This curve will be a parabola, representing the graph of y = x^2 - 2x - 2. Since I cannot physically draw the graph, these instructions explain how to construct it. That's 2 down. 3 left today — send the next one.