Brian McLogan
Graphing a reciprocal function with transformations
👉 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
Graphing a quadratic function in vertex form with multiple transformations
👉 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
Given the transformations write the equation
Learn how to write the equation of a reciprocal function given the transformations. The parent function of a reciprocal function is of the form f(x) = 1/x. The general form of reciprocal function is of the form f(x) = a/(x+/-h) +/- k,...
Brian McLogan
Learning to graph an exponential function with reflection and shift
👉 Learn how to graph exponential functions involving vertical 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 table...
Brian McLogan
Learn how to graph the exponential function with reflection about y-axis
👉 Learn how to graph exponential functions involving vertical 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 table...
Brian McLogan
Identify the transformations and graph logarithmic function
👉 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...
Curated Video
How to Graph and Describe an Exponential Function
In this video lesson, I will define and explain exponential equations. Students will learn to distinguish between linear and exponential equations. Reviewing that a linear function has a pattern of repeated addition, and an exponential...
Brian McLogan
Graphing the Tangent Function with a New Period
👉 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...
Brian McLogan
Describe the transformations and the domain
Describe the transformations and the domain
Brian McLogan
How to determine the change in asymptotes of the cosecant
👉 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
Learn how to graph the exponential function with transformations
👉 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
Learn how to graph the natural log function with a horizontal shift
👉 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...
Brian McLogan
How to graph an absolute value equation using transformations
👉 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 inequality with transformations when not in transformation form
👉 Learn how to graph absolute value inequalities. An absolute value inequality is an inequality having the absolute value sign. The graph of the parent function of an absolute value inequality is a v-shaped graph starting from the origin...
Brian McLogan
How to determine the max or min of a quadratic function in vertex form
👉 Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
Graphing the logarithmic equation with a horizontal & vertical translation
👉 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...
Brian McLogan
Find the inverse of the square root function by adding a constraint
👉 Learn how to find the inverse of a function. The inverse of a function is a function that reverses the "effect" of the original function. One important property of the inverse of a function is that when the inverse of a function is...
Brian McLogan
What are the transformations for exponential graphs
👉 Learn all about graphing exponential functions. An exponential function is a function whose value increases rapidly. To graph an exponential function, it is usually useful to first graph the parent function (without transformations)....
Brian McLogan
Summary for graphing absolute value inequalities
👉 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...
Curated Video
Learning About Translations in the Coordinate Plane
This video lesson introduces translations as the first of four transformations in this playlist. Students will learn that a translation is a mathematical slide. Students will learn to identify a translation and the effect a translation...
Brian McLogan
How to identify the transformations of tangent
How to identify the transformations of tangent
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
Easiest Method for Graphing Sine with a Reflection and Change in Period
👉 Learn how to graph a sine function. To graph a sine 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 the...
Brian McLogan
Graphing Cosine with Reflection and Change in Period
👉 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...