Using a Scale of 2cm to 1unit on the x-axis and 2cm to 5units on the y-axis, draw the graph of x2 - 2x - 2.

Draw a horizontal $x$-axis and a vertical $y$-axis on graph paper. Label them $x$ and $y$ respectively.

• On the $x$-axis: Mark every $2 \text{ cm}$ interval as $1 \text{ unit}$. So, the major grid lines at $2 \text{ cm}, 4 \text{ cm}, 6 \text{ cm}, \dots$ from the origin will be labeled $1, 2, 3, \dots$ to the right and $-1, -2, -3, \dots$ to the left.
• On the $y$-axis: Mark every $2 \text{ cm}$ interval as $5 \text{ units}$. So, the major grid lines at $2 \text{ cm}, 4 \text{ cm}, 6 \text{ cm}, \dots$ from the origin will be labeled $5, 10, 15, \dots$ upwards and $-5, -10, -15, \dots$ downwards.

Using the table of values from the previous part:

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 $4 \times 2 \text{ cm} = 8 \text{ cm}$ to the left).
• Move 22 units up on the $y$-axis (which is $\frac{22}{5} \times 2 \text{ cm} = 4.4 \times 2 \text{ cm} = 8.8 \text{ cm}$ up).

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.