Artillery shooting with math functions

Want to test your knowledge of mathematics in practice, in a real battle? Welcome to Graphwar , where two teams of players shoot at each other with graphs of mathematical functions. Commands are located on opposite sides of the y axis . The task is to select a function whose schedule will overtake the obstacles and hit the player from the opposing team. Normal functions are supported, as well as first and second order differential equations. Supported features :

• sqrt ()
• log ()
• ln ()
• abs ()
• sin ()
• cos ()
• tan ()
• exp ()

Examples :

• y = ((x-3) ^ 2) / 20
• y = ln (abs (x))
• y = sin (x / 20) * 5
• y '= 1.2 ^ x
• y '' = (1.2 ^ (- (x + 3) ^ 2)) * (20 * (- y))

The author of the game warns that it is necessary to take into account the scale of the grid of the axes x (from -25 to +25) and y (from -15 to +15), so in order to obtain curvature, you will have to add a divisor to some functions.

Also keep in mind that the function is translated to your current location and shifted, as shown in the screenshot.