x and y
I would set up a table of values and calculate several of the values of the variables (I would try to calculate the "interesting" values setting one to zero and calculating the other(s), guessing at a maximum or minimum value etc. Then I would plot the values on graph paper.
constant speed
The straight horizontal line on the graph says: "Whatever time you look at, the speed is always the same". This is the graph of an object moving with constant speed.
A graph would not be useful to illustrate the times between eclipses, or the comparative shapes of airfoils. Graphs only illustrate numerical information in comparison with other similar values.
BecAuse that would mean it is going an infinite speed. The slope of a distance time graph is the objects velocity or speed. If there is a line parallel to the distance axis, there is a vertical line. The slope of a vertical line is infinite. It is not possible to go an infinite speed.
If speed changes, then the speed/time graph has up/down curves in it.
If the motion changes, the graph might show a different shape, slope, or position. For example, if the speed increases, the graph might show a steeper slope. If the direction of motion changes, the graph might show negative values or a curve. Any variation in the motion will be reflected in the graph.
If a body is moving with variable speed, then the only thing you can say aboutits speed/time graph is that the graph is not a straight, horizontal line.
On a graph, a speed of zero would be represented by a horizontal line at the zero point on the y-axis, indicating no change in position over time. This would appear as a flat line running parallel to the x-axis.
To graph uniform speed changes, you would plot distance on the y-axis and time on the x-axis. The graph would show a straight line with a constant slope, representing the uniform speed at which the object is moving. The steeper the slope, the faster the speed.
I would set up a table of values and calculate several of the values of the variables (I would try to calculate the "interesting" values setting one to zero and calculating the other(s), guessing at a maximum or minimum value etc. Then I would plot the values on graph paper.
On a graph of velocity and time, a constant speed would appear as a straight horizontal line.
To get speed from a distance-time graph, you would calculate the slope of the graph at a given point, as the gradient represents speed. To calculate total distance covered, you would find the total area under the graph, as this represents the total distance traveled over time.
constant speed
Speed = distance / time A line graph with distance on the vertical axis and time on the horizontal axis could be used to determine speed. The speed would equal the slope of the line. Alternatively, a line graph with distance/time on the vertical axis and time on the horizontal axis would show speed. The acceleration would equal the slope of the line.
For a general cosine graph, they would be the maximum and minimum values, and the values of the independent variable at which these are attained.Note that the graph of y = cos(x)+2 is never equal to zero, so there may not be any roots.
I would like to state first that you misspelled horizontal. The answer to your question is Constant speed.