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How does changing the signs of the coefficients affect the graph of a polynomial?
For a polynomial of order n there are n+1 coefficients that can be changed. There are therefore 2^(n+1) related polynomials with coefficients of the same absolute values. All these generate graphs whose shapes differ.If only the constant coefficient is switched, the graph does not change shape but moves vertically. If every coefficient is switched then the graph is reflected in the horizontal axis. For all other sign changes, there are intermediate changes in the shape of the graph.
How does the inverse operation affect solving an equation?
It affects because if you want to solve a multiplication problem you can use it or also to check your division problem
How does changing the slope of a linear function affect its graph?
It rotated the line about the point of intersection with the y-axis.
Do graph transformations affect domain and range?
Most transformations do affect one or both. Very few will not affect either.
What are the steps for writing the equation of a function from a graph?
1. Decide if the graph looks like any standard type of graph you've seen before. Is it a type of sine or cosine? A quadratic? A circle or ellipse? A line? An exponential? (You get the idea.) If you can't find a standard type to match your desired graph, pick one that looks close to it and recognize that you will be doing an approximation to your function.2. Once you have an idea of what you're graph should be like, think about the equations that are used to describe that graph. Where do the numbers go and how do they affect how the graph looks/moves/ behaves? Some functions, such as circles, hyperbolas, and quadratics, have standard equations with variables based on the important features of the graph (such as the center, maximums or minimums).3. Find the important and/or interesting parts of the graph and use them in the equation. As stated before, ellipses and such have special equations to describe them. Sines and cosines require the amplitude, frequency, and phase shift.4. Check your equation if you can. It's always good to plug a few of the points that are in your graph to make sure your equation is accurate. It's especially good to try out points you did NOT use to find your equation. If it works for these, then you probably did it right.
How does the leading coefficient a affect the graph?
idk
How does a subscript in a chemical formula affect balancing chemical equation?
When balancing a chemical equation, you multiply the subscripts in a chemical formula times the coefficient in front of the formula to get the total number of atoms of each element.
What is the effect on coefficient of static friction when side length of a cube of 5 cm is doubled to original?
The surface areas in contact do not affect the coefficient.The surface areas in contact do not affect the coefficient.The surface areas in contact do not affect the coefficient.The surface areas in contact do not affect the coefficient.
How do you find transformations in an equation?
To find transformations in an equation, you can look for changes in the coefficients and constants that affect the position, size, or shape of the graph. For example, a coefficient before the x term will affect the stretch or compression of the graph, while a constant added or subtracted will affect the vertical shift. Additionally, changes inside functions (such as squaring or square rooting) can also indicate transformations.
How does changing the position affect the results?
Changing the position can affect the results by altering the perspective from which the situation is perceived, potentially leading to different interpretations or conclusions. It can also impact the way different variables interact with each other, influencing the outcomes of the analysis.
How does the presence of a coefficient affect the number of atoms of each type in the formula that the coefficient precedes?
it tells you what charge the element will be
According to the Arrhenius equation changing which factors will affect the rate constant?
The factors that can affect the rate constant in the Arrhenius equation are temperature and activation energy. Increasing the temperature will increase the rate constant, as reactions occur more rapidly at higher temperatures. Similarly, changing the activation energy required for the reaction will also impact the rate constant.
How does a coefficient in front of a formula affect the number of each type of atom in the formula?
A coefficient in front of a formula represents the number of molecules or formula units. It applies to all the atoms within that molecule or formula unit. For example, in the formula 2H₂O, the coefficient '2' means there are two water molecules, resulting in a total of 4 hydrogen atoms and 2 oxygen atoms.
How does the time period or number of variables effect correlation coefficient?
The time period may not affect the correlation coefficient at all. If looking at the correlation between the mass and volume of steel objects, time is totally irrelevant. The effect of the number of variables depends on whether or not the extra variables are related to ANY of the variables in the equation.
How does changing the constant affect the graph?
Changing the constant in a linear equation shifts the line parallel to itself along the y-axis. It does not change the slope of the line, which represents the rate of change. The constant determines where the line crosses the y-axis.
How does speed affect the coefficient of friction?
Increasing speed does not directly affect the coefficient of friction between two surfaces. The coefficient of friction is a property determined by the nature of the surfaces in contact and remains constant regardless of speed, as long as the other conditions (such as surface roughness and temperature) remain the same.
Explain how the values of the slope affect the overall meaning of the equation?
how the values of the slope affect the overall meaning of the equation?
