Instructional Video5:33
Brian McLogan

Learn how to sketch the graph of a hyperbola center at the origin

12th - Higher Ed
Learn how to sketch the graph of a hyperbola center at the origin
Instructional Video2:14
Brian McLogan

Learn how to evaluate the limits at infinity with asymptotes on a graph

12th - Higher Ed
👉 Learn how to evaluate the limit of a function from the graph of the function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. When...
Instructional Video8:11
Brian McLogan

Graphing a basic logarithmic graph and determine the x intercept

12th - Higher Ed
👉 Learn how to graph logarithmic functions. The logarithmic function is the inverse of the exponential function. To graph a logarithmic function, it is usually very useful to make the table of values of the function. This is done by...
Instructional Video8:14
Brian McLogan

Find the x and y intercepts of a rational function

12th - Higher Ed
👉 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...
Instructional Video8:15
Brian McLogan

Given a formula of hyperbola in standard form find foci, asymptotes, center vertices

12th - Higher Ed
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...
Instructional Video7:23
Brian McLogan

Where does the cosecant graph come from?

12th - Higher Ed
👉 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...
Instructional Video4:52
Brian McLogan

Given the graph and asymptotes write the equation for a hyperbola

12th - Higher Ed
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...
Instructional Video2:40
Brian McLogan

What do I have to know to graph the tangent and cotangent function

12th - Higher Ed
👉 Learn the basics of graphing a tangent and a cotangent function. To plot the tangent and the cotangent graph we choose a set of points and form a table of values with which we plot the points on the x-y coordinate axis to obtain the...
Instructional Video2:42
Brian McLogan

Evaluate the limits from a graph with horizontal and vertical asymptotes

12th - Higher Ed
👉 Learn how to evaluate the limit of a function from the graph of the function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. When...
Instructional Video3:09
Brian McLogan

Learn how to write the equation of a parabola given vertex and directrix

12th - Higher Ed
Learn how to write the equation of a parabola given the vertex and the directrix. 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)....
Instructional Video7:11
Brian McLogan

What are the basics for the parent graph of tangent

12th - Higher Ed
👉 Learn the basics of graphing a tangent and a cotangent function. To plot the tangent and the cotangent graph we choose a set of points and form a table of values with which we plot the points on the x-y coordinate axis to obtain the...
Instructional Video7:58
Brian McLogan

Graphing Cosecant with a Change in the Period

12th - Higher Ed
👉 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...
Instructional Video2:35
Brian McLogan

Evaluate the limit of a graph with asymptotes

12th - Higher Ed
👉 Learn how to evaluate the limit of a function from the graph of the function. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. When...
Instructional Video1:21
Brian McLogan

Determining the x intercept of a logarithmic equation

12th - Higher Ed
👉 Learn how to graph logarithmic functions. The logarithmic function is the inverse of the exponential function. To graph a logarithmic function, it is usually very useful to make the table of values of the function. This is done by...
Instructional Video3:40
Brian McLogan

Write the equation of a parabola given vertex and directrix

12th - Higher Ed
Learn how to write the equation of a parabola given the vertex and the directrix. 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)....
Instructional Video8:11
Brian McLogan

how to graph and identify the foci, asymptotes, center, vertices of a hyperbola

12th - Higher Ed
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...
Instructional Video10:36
Brian McLogan

How do you find the vertical and horizontal asymptotes of a rational function

12th - Higher Ed
👉 Learn all about asymptotes of a rational function. A rational function is a function, having a variable in the denominator. An asymptote is a line that the graph of a function approaches but never touches. There are the vertical, the...
Instructional Video5:51
Brian McLogan

Graph a logarithmic equation and determine the domain and range

12th - Higher Ed
👉 Learn how to graph logarithmic functions involving vertical shift. The logarithmic function is the inverse of the exponential function. To graph a logarithmic function, it is usually very useful to make the table of values of the...
Instructional Video4:25
Brian McLogan

Write the equation of a hyperbola given the foci and length of transverse axis

12th - Higher Ed
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...
Instructional Video4:49
Brian McLogan

How to graph the secant graph

12th - Higher Ed
👉 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...
Instructional Video5:19
Brian McLogan

How to graph the cosecant graph

12th - Higher Ed
👉 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...
Instructional Video4:14
Curated Video

Graphs and Reciprocal Functions

Higher Ed
This video is a presentation on graphs and their reciprocal values. The presenter begins by defining the reciprocal as one over a number and then works out values to demonstrate how the reciprocal changes as the value of X changes. The...
Instructional Video6:06
Brian McLogan

Where do logarithmic graphs come from

12th - Higher Ed
👉 Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a...
Instructional Video7:14
Brian McLogan

Conics Determine the center, foci, vertices, and co vertices of an ellipse

12th - Higher Ed
Learn how to graph vertical ellipse not centered at the origin. A vertical ellipse is an ellipse which major axis is vertical. To graph a vertical ellipse, we first identify some of the properties of the ellipse including the major...