Instructional Video2:48
Brian McLogan

Graph, identify the transformations of exponential equation with e

12th - Higher Ed
👉 Learn how to graph exponential functions in base e. An exponential function is a function whose value increases rapidly. e is a constant called the exponential constant equal to 2.7183... To graph an exponential function, it is usually...
Instructional Video5:32
Brian McLogan

how to identify a b and c for an hyperbola then graph

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 Video3:18
Brian McLogan

How to write the equation of a hyperbola given the asymptotes and vertical 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 Video5:36
Brian McLogan

Find the asymptotes, foci, vertices and center 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 Video5:06
Brian McLogan

What are the important characteristics of the tangent curve

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 Video4:19
Brian McLogan

Summary for graphing the cotangent and tangent functions

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

Math tutorial for graphing an exponential function with transformations

12th - Higher Ed
👉 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...
Instructional Video6:04
Brian McLogan

Graphing logarithmic equations

12th - Higher Ed
👉 Learn all about graphing natural logarithmic functions. A logarithmic function is a function with logarithms in them. A natural logarithmic function (ln function) is a logarithmic function to the base of e. The graph of the parent...
Instructional Video3:48
Brian McLogan

Graphing the exponential function with multiple transformations

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

Graphing logarithmic equations

12th - Higher Ed
👉 Learn all about graphing natural logarithmic functions. A logarithmic function is a function with logarithms in them. A natural logarithmic function (ln function) is a logarithmic function to the base of e. The graph of the parent...
Instructional Video3:55
Brian McLogan

Find the Horizontal and Vertical Asymptotes of a rational function

12th - Higher Ed
👉 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...
Instructional Video7:09
Brian McLogan

How to evaluate for the composition of two trigonometric functions

12th - Higher Ed
👉 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,...
Instructional Video7:40
Brian McLogan

Learning How to Graph and Find the Change in Period of Tangent

12th - Higher Ed
👉 Learn how to graph a tangent function. To graph a tangent function, we first determine the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift (the...
Instructional Video7:17
Brian McLogan

Graphing the Tangent Functions with a Phase Shift

12th - Higher Ed
👉 Learn all about graphing trigonometric functions. In this playlist, we will explore how to graph the sine, cosine, tangent, cotangent, cosecant and secant function. We will explore the characteristics of each graph as well as how to...
Instructional Video5:09
Brian McLogan

Graph the Tangent Equation with a Reflection and Phase Shift

12th - Higher Ed
👉 Learn all about graphing trigonometric functions. In this playlist, we will explore how to graph the sine, cosine, tangent, cotangent, cosecant and secant function. We will explore the characteristics of each graph as well as how to...
Instructional Video8:35
Brian McLogan

Learn how to graph a rational function when the function intercepts horizontal asymptote

12th - Higher Ed
👉 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...
Instructional Video4:50
Brian McLogan

Define Continuous and Discontinuous Functions

12th - Higher Ed
Define Continuous and Discontinuous Functions
Instructional Video9:47
Brian McLogan

Graph a rational function and determine the horizontal and vertical asymptotes

12th - Higher Ed
👉 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...
Instructional Video10:43
Brian McLogan

How to find the foci, center and vertices, and asymptotes 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 Video6:12
Brian McLogan

How to graph the tangent 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 Video4:42
Brian McLogan

How to sketch a hyperbola with a vertical transverse axis and label the parts

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 Video9:37
Brian McLogan

How to graph a rational function using solution points

12th - Higher Ed
👉 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...
Instructional Video16:18
Brian McLogan

Graphing a rational function with a trinomial as the denominator

12th - Higher Ed
👉 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...
Instructional Video12:09
Brian McLogan

Graphing a rational function with a slant asymptote

12th - Higher Ed
👉 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...