Instructional Video4:00
Brian McLogan

Graphing the secant function by using cosine

12th - Higher Ed
👉 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...
Instructional Video5:51
Brian McLogan

How to use long division to divide two polynomials

12th - Higher Ed
👉 Learn how to divide polynomials by quadratic divisors using the long division algorithm. Before dividing a polynomial, it is usually important to arrange the divisor in the descending order of powers of the variable(s). To divide a...
Instructional Video8:00
Brian McLogan

Finding the domain asymptote and x intercept of a logarithm

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 Video2:22
Brian McLogan

Simplify an expression using power to product and power to quotient rule

12th - Higher Ed
👉 Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the...
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 Video3:57
Brian McLogan

Graphing the Secant Graph with Change in Period

12th - Higher Ed
👉 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...
Instructional Video2:19
Brian McLogan

What are the transformations and graph of a logarithmic equation

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 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 Video15:23
Brian McLogan

Master Writing the equation of a hyperbola when the center is not at the origin

12th - Higher Ed
Master Writing the equation of a hyperbola when the center is not at the origin
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 Video6:22
Brian McLogan

How to Graph the Cosecant Function with a Change in 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 Video7:24
Brian McLogan

Graphing the Tangent Function with a Change of Period

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 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 Video4:21
Brian McLogan

Summary for graphing the secant and cosecant function

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 Video3:57
Brian McLogan

Learn how to find the 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 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 Video10:00
Brian McLogan

How to divide a trinomial into a polynomial using long division

12th - Higher Ed
👉 Learn how to divide polynomials by quadratic divisors using the long division algorithm. Before dividing a polynomial, it is usually important to arrange the divisor in the descending order of powers of the variable(s). To divide a...
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...
Instructional Video10:57
Brian McLogan

Master Determining the x and y intercepts of the reciprocal function

12th - Higher Ed
Master Determining the x and y intercepts of the reciprocal function
Instructional Video8:12
Brian McLogan

How to graph a hyperbola with asymptotes and center at origin

12th - Higher Ed
How to graph a hyperbola with asymptotes and center at origin
Instructional Video7:47
Brian McLogan

Finding the equation of a hyperbola given the value of a and c

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 Video1:50
Brian McLogan

Hole Asymptote or continuous?

12th - Higher Ed
Hole Asymptote or continuous?