In the standard form of a quadratic equation ( y = ax^2 + bx + c ), the value of ( a ) determines the direction and the shape of the graph. If ( a > 0 ), the parabola opens upwards, while if ( a < 0 ), it opens downwards. Additionally, the absolute value of ( a ) affects the width of the parabola: larger values of ( |a| ) result in a narrower graph, while smaller values lead to a wider graph.
Changing a variable in a quadratic equation affects the shape and position of its graph. For example, altering the coefficient of the quadratic term (the leading coefficient) changes the width and direction of the parabola, while modifying the linear coefficient affects the slope and position of the vertex. Adjusting the constant term shifts the graph vertically. Overall, each variable influences how the parabola opens and its placement on the coordinate plane.
Yes, that's true. In a normal distribution, a smaller standard deviation indicates that the data points are closer to the mean, resulting in a taller and narrower curve. Conversely, a larger standard deviation leads to a wider and shorter curve, reflecting more variability in the data. Thus, the standard deviation directly affects the shape of the normal distribution graph.
horizontal
makes line steeper or flatter
To provide an accurate analysis, I would need to see the specific graph you're referring to. However, generally, a trend in a graph indicates a consistent pattern or direction in the data over a period of time, such as an increase, decrease, or stability. The graph typically illustrates the relationship between two variables, allowing for visual interpretation of how one variable affects the other. If you can describe the graph or share key details, I can offer more tailored insights!
A Compound Graph Is An Extension Of a Standard Graph.
Speed (in the radial direction) = slope of the graph.
From a velocity-time graph, you can calculate the acceleration by finding the slope of the graph at a certain point. The area under the graph represents the displacement of the object. You can also determine the direction of motion based on the slope of the graph (positive slope indicates motion in one direction, negative slope indicates motion in the opposite direction).
the left end of the graph is going in a positive direction and the right end is going in a negative direction.
In an undirected graph, an edge is an unordered pair of vertices. In a directed graph, an edge is an ordered pair of vertices. The ordering of the vertices implies a direction to the edge, that is that it is traversable in one direction only.
In the vertical direction.
In the vertical direction.
horizontal
makes line steeper or flatter
It gives the velocity of the object in the radial direction. The graph gives no information whtsoever about motion in a transverse direction.
In the vertical direction.
The scale varies on depending on the graph; there is no standard scale. It is whatever you want it to be.