Brian McLogan
Find the coordinate point of the given angle
👉 Learn how to find the point on the unit circle given the angle of the point. A unit circle is a circle whose radius is 1. Given an angle in radians, to find the coordinate of points on the unit circle made by the given angle with the...
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
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...
Curated Video
Java 11 Programming for Beginners 5.1: Using Generics and Collections
This video introduces the features of generics and collections, two features that very much work together. • An example problem: the personal finance analyzer • A quick chat on the theory of collections and generics • Establish basic...
Brian McLogan
Learn how to reflect a triangle over the y axis ex 2
👉 Learn how to solve for unknown variables in congruent triangles. Two or more triangles are said to be congruent if they have the same shape and size. When one of the values of a pair of congruent sides or angles is unknown and the...
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
How does domain restrictions affect the inverse of trig composition
👉 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,...
Brian McLogan
The difference between vertical shift and horizontal compression
The difference between vertical shift and horizontal compression
Brian McLogan
Graphing the Cosine Function with a Phase Shift
👉 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
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
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
Graphing a quadratic with reflection and vertical stretch
👉 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
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 to translate an exponential graph using a reflection and horizontal shift
👉 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...
Curated Video
Graphing Quadratic Functions and Transformations
In this lesson, we will learn how to graph quadratic functions in the form F of X equals ax squared. We will review vocabulary, characteristics of quadratic functions, and two transformations: vertical shrink and vertical stretch. We...
Let's Tute
Creating a Sunset Landscape with a Pink Sky
This video demonstrates how to create a stunning sunset landscape with a pink sky using acrylic colors. It guides viewers step-by-step through the process, showing them how to blend colors, create ocean waves, and add details like clouds...
Brian McLogan
Graphing Cotangent with a Reflection
👉 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
Evaluating trigonometric functions using the reference angle
👉 Learn how to evaluate trigonometric functions of a given angle. Given an angle greater than 2pi in radians, to evaluate the trigonometric functions of the given angle, we first determine the smallest positive coterminal angle of the...
Brian McLogan
How to evaluate sum of two angles using the sum formula for sine
👉 Learn how to evaluate the sine of an angle in radians using the sum/difference formulas. To do this, we first express the given angle as a sum or a difference of two (easy to evaluate) angles, then we use the unit circle and 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
Graphing logarithmic equations
👉 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...
Brian McLogan
Given different transformations, learn how to write the equation of a cubic function
👉 Learn how to write the equation of a polynomial when given rational zeros. Recall that a polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The...
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)....