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Properties of Logarithms

"In order to solve equations with logarithms and exponential functions, we must understand two properties of logarithms. These properties of logarithms are the methods we use to get to and solve for v ...

Converting Complex Numbers from Trigonometric Form to Rectangular

"Both the trigonometric form and the rectangular form are useful ways to describe complex numbers, and so it is important to understand converting complex numbers from trigonometric form to rectangula ...

Convert Rectangular to Polar Coordinates

"We will often be asked to convert rectangular to polar coordinates, and this conversion will be very important to understand in Calculus. In order to convert rectangular to polar coordinates, we use ...

Power Functions

"A power function is a function where y = x ^n where n is any real constant number. Many of our parent functions such as linear functions and quadratic functions are in fact power functions. Other pow ...

Polynomial Functions Graphs

"The behavior of polynomial functions graphs near a repeated factor is different than what we expect from polynomial functions with terms in sequential degrees. In polynomial functions with repeated ...

Polynomial Function Zeros

"Finding the polynomial function zeros is not quite so straightforward when the polynomial is expanded and of a degree greater than two. One method is to use synthetic division, with which we can test ...

Conjugate Zeros Theorem

"There are different methods for finding the zeros of an expanded polynomial, one of which uses the conjugate zeros theorem. If we are given an imaginary zero, we can sometimes use the conjugate zeros ...

Polynomial Equations

"Once we know the basics of graphing polynomial functions, we can easily find the equation of a polynomial function given its graph. To find polynomial equations from a graph, we first identify the x- ...

Conic Sections

"By definition, a conic section is a curve obtained by intersecting a cone with a plane. In Algebra II, we work with four main types of conic sections: circles, parabolas, ellipses and hyperbolas. Eac ...

Conic Section Formulas

"We can easily identify a conic section by its formula. Conic section formulas have different identifiers. For example, a vertical parabola has a squared "x" term and single "y" term while a horizonta ...

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