Brian McLogan
Graphing a linear inequality by rewriting the equation into slope intercept form
👉 Learn how to graph linear inequalities written in standard form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken...
Brian McLogan
Evaluate the inverse trig with 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
Graphing a linear equation from a table
👉 Learn how to graph linear equations from the table of points. When given the table of points of a linear equation, we plot the x and y coordinates of the given table on the cartesian plane and join the ploted points to form a straight...
Brian McLogan
Given a Vector in Component Form, Find the Unit Vector
Learn how to determine the unit vector of a vector in the same direction. The unit vector is a vector that has a magnitude of 1. The unit vector is obtained by dividing the given vector by its magnitude.
Curated Video
Using Circle Theorems: Focus on the Chord Bisector
This video is a lecture presentation on using circle theorems, with a focus on the chord bisector O. The presenter explains how a circle can be split into two segments by a chord, and how the perpendicular from the center to the chord...
Brian McLogan
Graphing the system of linear equations with one solution
👉To solve a system of equations means to obtain a common x-value and a common y-value that makes the each of the equation in the system true. To solve a system of equations by graphing means to obtain the point of intersection (if any)...
Brian McLogan
What are some important things to remember about an ellipse
What are some important things to remember about an ellipse
Brian McLogan
Learning to reflect a line over the y axis
👉 Learn how to reflect points and a figure over a line of symmetry. Sometimes the line of symmetry will be a random line or it can be represented by the x or y-axis. Either way when reflecting a point and or figure over the line of...
Brian McLogan
Describing a relation as a graph table and map
👉 functions are the possible output values (y-values) of the function. To find the domain of a function from a table we list out the set of the input values and for the range we list out the set of output values. To find the domain and...
Brian McLogan
Learn how to graph a system of linear inequalities of two vertical boundary lines
👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making...
Brian McLogan
What is the definition of range of a relation
👉 Learn about every thing you need to know to understand the domain and range of functions. We will look at functions represented as equations, tables, mapping, and ordered pairs. The domain is the set of all possible x or input values...
Brian McLogan
Learn how to identify the slope and y intercept from a linear equation in slope intercept
👉 Learn how to write the equation of a line in a point-slope form. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents in its variable(s)). There are various forms which we can...
Brian McLogan
How to graph a point in polar form on the y axis
How to graph a point in polar form on the y axis
Brian McLogan
How to graph a polar point with a negative radius
How to graph a polar point with a negative radius
Brian McLogan
Solving a linear system of two equations by graphing
👉To solve a system of equations means to obtain a common x-value and a common y-value that makes the each of the equation in the system true. To solve a system of equations by graphing means to obtain the point of intersection (if any)...
Brian McLogan
Function notation
👉 Learn about every thing you need to know to understand the domain and range of functions. We will look at functions represented as equations, tables, mapping, and ordered pairs. The domain is the set of all possible x or input values...
Brian McLogan
Graphing a linear system of inequalities and shading their solution
👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making...
Brian McLogan
What do I need to know to graph linear inequalities
👉 Learn how to graph linear inequalities. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used...
Brian McLogan
Finding the rate of change from a graph of a word problem
👉 Learn how to find the rate of change from word problems. The rate of change is the rate at which the the y-value is changing with respect to the change in x-value. To determine the rate of change between two points, we just need to...
Brian McLogan
How to determine the axis of symmetry and vertex
👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular palabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic...
Brian McLogan
Evaluate using the half angle formula for Tangent
👉 Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not...
Brian McLogan
Graph Trigonometric Functions | Trigonometry | Pre-Calculus
In this video I will cover how to graph the sine, cosine and tangent function. We will first explore where these graphs come from using the unit circle and then move into the characteristics of the graphs such as period, amplitude, phase...
Brian McLogan
Converting a point from polar to rectangular
Learn how to convert points between rectangular and polar. Rectangular points measure the horizontal and vertical distance away from the origin whereas polar coordinates measure the direct distance and angle in standard position from the...
Brian McLogan
Graphing a linear equation in slope intercept form
👉 Learn how to graph linear equations written in slope intercept form. When given a linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is the slope and c is the y-intercept). We first plot the y-intercept and...