Brian McLogan
Evaluating the composition of sine and cosine functions
👉 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
Learn how to evaluate a function for a given value
👉 Learn how to evaluate a function and for any given value. For any function, f(x) x is called the input value or the argument of the function. To evaluate a function, all we have to do is to change the argument of the function from x to...
Brian McLogan
How to determine the domain and range of a quadratic using its vertex
👉 Learn the basics to understanding graphing quadratics. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Curated Video
Finding the Centroid of a Triangle Using Vector Geometry and Coordinate Points
The video is a lecture presentation on vector geometry and the ratio theorem, with a focus on finding the centroid of a triangle. The presenter explains the concept of the centroid as the point of concurrency of a triangle and uses...
Brian McLogan
How to find the slope between two points
👉 Learn how to find the slope between two points. The slope of a line is the steepness of the line. The horizontal line has a zero slope while the vertical line has an undefined slope. To determine the slope of a line passing through two...
Brian McLogan
Find the equation of an ellipse
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Brian McLogan
Geometry - Determine the transformation vector for two triangles
👉 Learn how to apply transformations of a figure and on a plane. We will do this by sliding the figure based on the transformation vector or directions of translations. When performing a translation we are sliding a given figure up,...
Brian McLogan
Determining where a point is on the unit circle
👉 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
Given a table graph an equation and it's inverse
👉 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
Learn how to determine slope & y intercept from an equation in slope intercept form
👉 In this playlist you will learn how to graph a linear equation in standard form, slope intercept form as well as when the slope and y intercept are provided. In addition to graphing linear equations we will also learn how to determine...
Brian McLogan
Two ways to write the x and y intercepts of a graph
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Brian McLogan
Graphing and describing transformations of a quadratic equation
👉 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
What are the definitions of trigonometric functions on the unit circle
👉 Learn about the trigonometric functions using the unit circle. The trigonometric function of an angle is the value of the trigonometric functions of sine, cosine, tangent, cosecant, secant and cotangent of that angle. To use the unit...
Brian McLogan
Evaluating Inverse Trigonometric Functions
👉 Learn how to evaluate the inverse of reciprocal trigonometric functions. Recall that the reciprocal trigonometric functions are given by the ratio of 1 and the corresponding trigonometric function. When an angle is unknown but the...
Brian McLogan
Find x and y intercepts of a rational function
👉 Learn how to find the x and y-intercepts of a rational function. The x-intercept(s) of a function occurs when y = 0 and the y-intercept(s) of a function occurs when x = 0. To find the y-intercept of a function, we plug in zero for x...
Brian McLogan
Summary for characteristics of a quadratic in vertex form
👉 Learn how to graph a quadratic equation in vertex form by applying transformations such as horizontal/vertical shift, horizontal/vertical compression stretch and reflections. If the equation is not in vertex form, then we will apply...
Brian McLogan
What is the unit circle and how do you find points on the unit circle
👉 Learn about the points on the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle...
Brian McLogan
Where do the basic trigonometric identities come from
👉 Learn all about the different trigonometric identities and how they can be used to evaluate, verify, simplify and solve trigonometric equations. The identities discussed in this playlist will involve the quotient, reciprocal,...
Curated Video
Estimating Solutions to Systems of Equations by Graphing
In this lesson, students will learn how to estimate solutions to systems of equations by graphing when both equations are in slope intercept form. They will understand the concepts of slope intercept form and how to graph linear...
Curated Video
Estimating Solutions to Systems of Equations by Graphing in Standard Form
In this video lesson, the teacher explains how to estimate solutions to systems of equations by graphing when both equations are in standard form. They demonstrate how to find the x and y-intercepts of each equation and graph them on a...
Curated Video
Estimating Systems of Equations by Graphing
In this lesson, we will learn how to estimate systems of equations by graphing when one equation is in slope intercept form and the other equation is in standard form. We will review the different forms of linear equations and how to...
Curated OER
How Do You Find the Slope of a Line from a Graph?
Given a line on a graph, what's the slope of this line? First, identify two points on the given line. Then, use a formula to find the change in y and then the change in x. This will be represented by rise over run. Watch this video to...