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Brian McLogan
How to graph a polar point with a negative radius
How to graph a polar point with a negative radius
Brian McLogan
Function notation
π 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
π 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
π 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
π 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
π 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
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
Evaluate using the half angle formula for Tangent
π 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
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
π 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...
Brian McLogan
Finding the solutions to a trigonometric equation
π Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together...
Brian McLogan
Write a point in rectangular form from polar form
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 system of inequalities to determine the solution
π 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
Learn to graph a linear equation when it is in slope intercept form
π 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...
Brian McLogan
Graphing a linear inequality with a slope of negative one and dashed line
π Learn how to graph linear inequalities written in slope-intercept 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...
Brian McLogan
How to evaluate the inverse of trigonometric functions with unit circle
π Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the...
Brian McLogan
Determining the sine of the sum of two angles
π 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
Graph polar point then convert to rectangular
Graph polar point then convert to rectangular
Brian McLogan
Determine a line perpendicular to to another through a given point using point slope form
π Learn how to write the equation of a line that is perpendicular to a given line. 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...
Brian McLogan
Solving a linear system of two equations by graphing
πTo 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)...
KnowMo
Quadratic and Cubic Graphs: Shapes, Plotting, and Analysis
The video explains how to graph quadratic and cubic equations, including identifying the shape of the curve and distinguishing between positive and negative quadratic equations. The video also covers how to plot graphs by finding X and Y...
KnowMo
Plotting Shapes Using Coordinates
The video provides a lecture presentation on plotting shapes using coordinates. The speaker establishes what coordinates are and explains how they show an exact position or location on a grid. The properties of shapes such as...
Brian McLogan
Extrema of a function from a graph
π Learn how to determine the extrema from a graph. The extrema of a function are the critical points or the turning points of the function. They are the points where the graph changes from increasing to decreasing or vice versa. They are...
Brian McLogan
How to determine the solution of a system of linear inequalities by graphing
π 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...