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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
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,...
Brian McLogan
Graphing the parent graph of an exponential equation with base 2
👉 Learn how to graph exponential functions. 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 table of values of the...
Brian McLogan
Graphing an absolute value equation with a vertical shift
👉 Learn about graphing absolute value equations. An absolute value equation is an equation having the absolute value sign and the value of the equation is always positive. The graph of the parent function of an absolute value equation is...
Brian McLogan
Finding and graphing the vertical and horizontal asymptotes
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
I take my Conic Section Quiz I gave to my students........
Looking for help with conic sections or need a refresher before you take your own test or quiz? Follow along with me here as I work through my students quiz step by step.
Brian McLogan
Vertices, foci and center of an ellipse in standard form
Vertices, foci and center of an ellipse in standard form
Brian McLogan
Master How to identify the transformations from a family of functions
Master How to identify the transformations from a family of functions
Brian McLogan
Pre-Calculus - How to evaluate a logarithm using the change of base formula, 1.06^x = 4.1
👉 Learn how to evaluate logarithms using a change of base formula. The change of base formula states that when we have a log of a to the base of b, we can evaluate the logarithm by using a common base for both a and b as follows: log of...
Brian McLogan
Writing the transformations of a square root 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...
Brian McLogan
Learn how to graph the parent graph of an exponential function with a base of three
👉 Learn how to graph exponential functions. 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 table of values of the...
Professor Dave Explains
Practice Problem: The Motorcycle Daredevil
Your buddy Max is always attempting crazy stunts! Remember that time, he dove off the tree into the kiddie pool? Well this time he's going to take his motorcycle over a brick wall. Since you know all about projectile motion, and you know...
Curated Video
Graphing Ratios on a Coordinate Plane
In this video, the teacher explains how to solve ratio problems by graphing on a coordinate plane. They use the example of making fruit punch, where they demonstrate how to fill out a ratio table and then graph the points on a coordinate...
Brian McLogan
Learn how to graph a hyperbola
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
Write the equation of a hyperbola given vertices and length of conjugate axis
Learn how to write the equation of hyperbolas given the characteristics of the hyperbolas. The standard form of the equation of a hyperbola is of the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2...
Brian McLogan
Find the Period and Vertical Horizontal Stretch of the CSCX
👉 Learn how to graph a cosecant function. To graph a cosecant function, we start with the sine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the...
Brian McLogan
Graph a rational function with vertical and oblique asymptotes
👉 Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
Graph the reciprocal function with a horizontal shift
👉 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
How to find the vertical 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
Graph an absolute value equation with a reflection and horizontal stretch
👉 Learn about graphing absolute value equations. An absolute value equation is an equation having the absolute value sign and the value of the equation is always positive. The graph of the parent function of an absolute value equation is...
Brian McLogan
Graph an absolute value equation with a horizontal and vertical shift and vertical stretch
👉 Learn about graphing absolute value equations. An absolute value equation is an equation having the absolute value sign and the value of the equation is always positive. The graph of the parent function of an absolute value equation is...
Brian McLogan
Finding the asymptotes and intercepts of a rational function
👉 Learn how to find the x and y-intercepts of a rational function. The x-intercept(s) of a function occurs when y = 0 and the y-intercept(s) of a function occurs when x = 0. To find the y-intercept of a function, we plug in zero for x...
Brian McLogan
Find 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...
Curated Video
The Complete Excel Guide: Beginners to Advanced - Arranging Files
The aim of this video is to explore how to arrange files.
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This clip is from the chapter "Excel 2019 Beginners: Working with Views" of the series "The Complete Excel Guide: Beginners to Advanced".In this section, you'll...
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This clip is from the chapter "Excel 2019 Beginners: Working with Views" of the series "The Complete Excel Guide: Beginners to Advanced".In this section, you'll...