I would like to know how to find the equation of a quadratic function from its graph, including when it does not cut the x-axis. Modelling This is a good question because it goes to the heart of a lot of "real" math. Most "text book" math is the wrong way round - it gives you the function first and asks you to plug values into that function.

The reason why the father wished to close down the branch was that it appeared to be making a loss.

However, it is quite the reverse; if the branch was closed then, the positive contribution from the branch would be lost and overall profits would fall.

This is because the indirect costs of production do not vary with output and, therefore, closure of a section of the firm would not lead to immediate savings. This may mean that closing the branch would be a mistake on financial grounds.

This mistake is made due to a misunderstanding of nature of cost behavior.

If the branch is closed then the only costs that would be saved are the costs directly related to the running of the branch: The costs are indirect in nature, in this example the marketing and central administration costs, would still have to be paid as they are unaffected by output. For this decision to be made, we should use contribution as a guide for deciding whether or not to close a branch.

This can also be applied to the production of certain product lines, or the cost effectiveness of departments. On financial grounds, contribution is therefore, a better guide in making decisions.In my opinion, a much better choice is the language feelthefish.com language has many feelthefish.com grammar is based on Boolean algebra (it is possible to use a subset of Lojban as a computer programming language)..

The letters in Lojban each denote a single phoneme, instead of the multiple phonemes English uses. Writing Standard-Form Equations for Parabolas: Definition & Explanation.

so what can we say about this parabola given this equation? Writing Standard-Form Equations for . PatrickJMT: making FREE and hopefully useful math videos for the world! Given the following points on a parabola, find the equation of the quadratic function: (1,1); (2,4); (3,9). By solving a system of three equations with three unknowns, you can obtain values for a, b, and c of the general form.

Calculus is the applied part of mathematical analysis. It reduces mostly to symbolic manipulations based on the fundamental theorem which states that differentation and integration are inverse operations. 3. Choose a coordinate to substitute in and solve for a.

4. Write your final equation with a, h, and k. This is a vertical parabola, so we are using the pattern Our vertex is (5, 3), so we will substitute those numbers in for h and k: Now we must choose a point to substitute in. You can choose any.

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Quadratic equation - Wikipedia