Category Archive for: ‘Homework Questions’

Finding the Directrix of a Parabola, Given its Vertex and Focus

Finding the directrix of a parabola, given its vertex and focus, when the equation of the parabola and its orientation are unknown.

Determining the Orientation of the Parabola Any time we are given only one or more of the following: Focus Vertex Axis of Symmetry Directrix and are asked to find one or more of the others, we must first determine the orientation of the parabola, if we are not already told what it is (as we usually are not). In the …

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Finding the Vertex, Focus, and Directrix of a Parabola Given in Standard Form


Watch two things in these types of problems. First, the geometry of the situation — i.e. the orientation of the parabola and its various parts; and second, make sure your formulas are properly applied, as there are many k’s, p’s and a’s floating around and are a lot to contend with. SEE ALSO: How to find the directrix of a …

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Algebra Word Problem – Accounting Application

Algebra Word Problem Accounting Application E1370587287824

Problem – Algebra – Accounting Applications In this problem, we walk through a word problem involving an accounting application in which we must calculate changes in owner’s equity based on information given about its assets and liabilities and their changes over the year. These problems can be tricky. The thing to keep in mind is that balance sheets reflect the …

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Multiplying and Dividing Fractions

Multiplication and Division of Fractions Problem

Problem – Basic Math/Algebra – Multiplication and Division of Fractions This is a video session on how to multiply and divide fractions, as how students generally encounter it in Pre-Algebra and early Algebra courses. Notice that the illustration starts off with some relatively simple multiplication problems, and ultimately ends with some more complex division of mixed numbers. This wasn’t an …

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Calculating Compound Interest

Compound Interest Problem

Problem – Pre-Calculus – How to Calculate Compound Interest on an Investment In this problem, we walk through a question on calculating compound interest. In the explanation video, we spend some time on on the compound interest formula, itself, and distinguish it from simple interest scenarios. Comparison with Simple Interest: Notice that at the end of the investment period, you …

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