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Brian McLogan
What are the two equations for a parabola in conic sections
Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and...
Brian McLogan
Graphing the Cosine Function with a Change in Period and Vertical Transformation
👉 Learn how to graph a cosine function. To graph a cosine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from...
Brian McLogan
How to graph, find range, domain, vertex, and axis of symmetry from a quadratic
👉 Learn how to graph quadratic equations in vertex form. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either...
Brian McLogan
How to find the vertical and horizontal asymptotes of a rational function
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
How to find the horizontal and vertical compressions, stretches of multiple functions
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
How to apply synthetic division when the zero is a fraction
👉 Learn about dividing by synthetic division when the divisor is a fraction. Synthetic division is a method of dividing polynomials by linear expressions. To divide using synthetic division, we equate the divisor to 0 and then solve for...
Brian McLogan
Graph a reciprocal function and determine the limits of the vertical asymptotes
👉 Learn how to graph the reciprocal function. A reciprocal function is a rational function whose expression of the variable is in the denominator. A reciprocal function is of the form f(x) = a / (x + h) + k, where h is the vertical...
Brian McLogan
Finding the vertical and horizontal asymptotes
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
Finding the horizontal and vertical asymptotes of a function
👉 Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
Find the equation vertex (5, 2) Focus (3, 2)
Learn how to write the equation of a parabola given the vertex and the focus. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared). Recall...
Brian McLogan
Learning to graph a hyperbola with asymptotes
Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2...
Brian McLogan
What is the Domain Range and Vertical Asymptote of Secant
👉 Learn the basics of graphing the secant and the cosecant graphs. Recall that the secant is the reciprocal of the cosine while the cosecant is the reciprocal of the sine. Also recall that the cosine graph is a sinusoidal graph with...
Brian McLogan
Master determining the center,vertices, foci and aymptotes of a hyperbola center not at origin
Master determining the center,vertices, foci and aymptotes of a hyperbola center not at origin
Brian McLogan
Master Transformations of different parent functions
Master Transformations of different parent functions
Brian McLogan
Learn how to graph an exponential function with reflection & horizontal shift
👉 Learn how to graph exponential functions involving horizontal shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the...
Brian McLogan
Identify transformations, graph and determine domain and range radical function
👉 Learn how to graph the square root function. Like other functions, to graph the square root function, we first graph the parent function (i.e the graph of f(x) = square root of x) and then we apply the required transformations to the...
Curated Video
Modern HTML and CSS from the Beginning (Including Sass) - Navigation Menu Styling
CSS Basics: Navigation Menu Styling This clip is from the chapter "CSS Basics" of the series "Modern HTML and CSS from the Beginning (Including Sass)".In this Section, we’ll learn about CSS Basics.
Curated Video
How to Type Fractions in Microsoft Word
Learn how to insert custom fractions in Microsoft Word with this step-by-step guide. Discover how to create stacked and skewed fractions with ease, adjusting alignment and appearance to suit your document's needs.
The Backyard Scientist
Oscilloscope From an Old Television
Its so easy to turn an old tv into an oscilloscope, I filmed this entire video in a few hours.
Brian McLogan
Solve for the missing variable using vertical and complementary angels ex
👉 Learn how to find the value of an unknown variable in the expressions representing the values of angles given the relationship between the angles. When given expressions representing the values of angles and the relationship between...
Brian McLogan
Math tutorial for evaluating the composition of the sine and tangent function
👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function,...
Brian McLogan
How to identify the parts of a hyperbola when the center is not at the origin
Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2...
Brian McLogan
Graph the secant function with a phase shift
👉 Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase...
Brian McLogan
Evaluating an expression using the composition of trig functions
👉 Learn how to evaluate an expression with the composition of a function and a function inverse. Just like every other mathematical operation, when given a composition of a trigonometric function and an inverse trigonometric function,...