Brian McLogan
Graphing the Cosine Graph with Multiple Transformations
👉 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
Find the Period Frequency Phase Shift and Amplitude of Sine
👉 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
Completing the square to identify the max,min, vertex and axis of symmetry
We will learn how to graph a quadratic in vertex form and graph a quadratic in standard form by completing the square and rewriting the equation in vertex form. When the quadratic is in vertex form we learn how to identify the axis of...
Brian McLogan
How to graph an exponential function using a table
👉 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
How to graph 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...
Brian McLogan
Graphing logarithmic equations
👉 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
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
Graphing a quadratic function in vertex form with multiple transformation
👉 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
Master Determining the x and y intercepts of the reciprocal function
Master Determining the x and y intercepts of the reciprocal function
Curated Video
Translations: The Mathematical Slide
In this video lesson, students will be introduced to translations and understand its affect on congruence. We will discover that all figures translated in the coordinate plane result an image that is congruent to the original figure. We...
Brian McLogan
Graphing a Piecewise Function With Horizontal Transformations
👉 Learn how to graph piecewise functions. A piecewise function is a function which have more than one sub-functions for different sub-intervals(sub-domains) of the function's domain. To graph a piecewise function, we graph the different...
Brian McLogan
Zeros and multiplicity from vertex form of a quadratic
Zeros and multiplicity from vertex form of a quadratic
Brian McLogan
What is the period, frequency and amplitude of sine and cosine graphs
👉 Learn the basics to graphing sine and cosine functions. The sine graph is a sinusiodal graph with x-intercepts at x = 2n*pi, maximun value of 1 at x = pi/2 + 2n*pi and minimum value of -1 at x = -pi/2 + 2n*pi. The cosine graph is a...
Brian McLogan
How do you determine the phase shifts for sine and cosine graphs
👉 Learn the basics to graphing sine and cosine functions. The sine graph is a sinusiodal graph with x-intercepts at x = 2n*pi, maximun value of 1 at x = pi/2 + 2n*pi and minimum value of -1 at x = -pi/2 + 2n*pi. The cosine graph is a...
Brian McLogan
Graphing Cosine with Multiple Transformations
👉 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
Graphing the Tangent Function with a Change in 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
Graphing the Cotangent Function with a Change in Period
👉 Learn how to graph a cotangent function. To graph a cotangent 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...
Brian McLogan
How to graph the equation of a square root
👉 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
How to graph an exponential equation with multiple transformations
👉 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 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
Graph the reciprocal function with a reflection and translations
👉 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 graph absolute value functions using standard form
👉 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
Graphing absolute value equations with a reflection and horizontal stretch and translations
👉 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
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...