### Sketching the graph of a function

This screen is about graph sketching. Let's start by graphing y = 0.5x2 for x between -2 and 2.

The graph consists of points (x,y) with y = 0.5•x2: the second coordinate must be half the square of the first coordinate.
For example, take x = 2. Then y = 0.5•22 = 0.5•4 = 2 and so the point (x,y) = (2,2) is on the graph.

### Instructions

Start by plotting the three points (0,0), (1,0.5), and (2,2). As you move the mouse cursor near each point, use the green and blue guidelines to help figure out the point's coordinates. Click when the cursor tip is at the desired location. Each point will appear as a small black dot. The computer will connect the dots as you proceed.

If you wish to move a dot you have drawn, first position the cursor tip over the dot. When the green and blue guidelines disappear, click and drag the dot. If you drag the dot to the trash basket at the lower right, it will disappear.

• Add more dots to the graph until you see its shape clearly. Then click OK. The figure will show the actual graph drawn in blue and your grade so far.

If your grade is 95% or less, you can do better: drag some dots to adjust their position, or click to add new dots. Go to it!

Click 'Another' to get a new function to graph.