Brian McLogan
Graphing a linear equation in standard form by converting to slope intercept form
π Learn how to graph linear equations written in standard form. When given a linear equation in standard form, to graph the equation, we first rewrite the linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is...
Brian McLogan
Graphing a line using slope intercept form from standard form
π Learn how to graph linear equations written in standard form. When given a linear equation in standard form, to graph the equation, we first rewrite the linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is...
Brian McLogan
How to evaluate a piecewise function with a hole
π Learn how to evaluate a piecewise function. A piecewise function is a function which uses different rules for different intervals. When evaluating a piecewise function, pay attention to the constraints of each function as you can only...
Brian McLogan
Given the equation of a parabola in standard form, learn how to graph & identify the focus
Learn how to graph a horizontal parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be horizontal if it opens to the left or opens to the right. A horizontal parabola results from a quadratic...
Brian McLogan
how to graph and identify the foci, asymptotes, center, vertices of a hyperbola
Learn how to graph hyperbolas. To graph a hyperbola from the equation, we first express the equation in the standard form, that is in the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2 - (x - h)^2...
Brian McLogan
Teacher explains the components of vertex form What is everything
π Learn how to graph quadratic equations by completing the square. 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...
Brian McLogan
How to solve a system of equations by graphing both equations
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)...
Brian McLogan
How do you convert from standard form to vertex form of a quadratic
π Learn how to graph quadratic equations by completing the square. 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...
Brian McLogan
Graphing the linear system with a vertical line
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)...
Brian McLogan
Graph a logarithmic equation and determine the domain and range
π Learn how to graph logarithmic functions involving vertical shift. The logarithmic function is the inverse of the exponential function. To graph a logarithmic function, it is usually very useful to make the table of values of the...
Brian McLogan
What do I have to know to solve a system of equations by graphing
πLearn about solving a system of equations by graphing. A system of equations is a set of more than one equations which are to be solved simultaneously. To solve a system of equations graphically, we graph the individual equations making...
Curated Video
Graphing Simultaneous Linear Inequalities
In this video, the teacher explains how to find the solution to simultaneous linear inequalities by graphing. They cover topics such as graphing linear inequalities on a number line, using broken or solid boundary lines, and shading the...
Brian McLogan
How to determine the slope and y intercept from an equation in standard form
π Learn how to graph linear equations written in standard form. When given a linear equation in standard form, to graph the equation, we first rewrite the linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is...
Brian McLogan
Graphing a linear equation in standard form by converting to slope intercept form
π Learn how to graph linear equations written in standard form. When given a linear equation in standard form, to graph the equation, we first rewrite the linear equation in slope intercept form, (i.e. in the form y = mx + c, where m is...
Brian McLogan
Tutorial - Learn how to plot basic coordinate points on a xy plane
π Learn all about points lines and planes. In this playlist, we will explore how to how to identify, write, label all points lines, and planes. We will learn how to determine the distance between two points as well as the midpoint. Learn...
Brian McLogan
Learn How to Graph a Piece Wise Function With Jump Discontinuity
π 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
Write the equation of a hyperbola given the foci and length of transverse axis
Learn how to write the equation of hyperbolas given the characteristics of the hyperbolas. The standard form of the equation of a hyperbola is of the form: (x - h)^2 / a^2 - (y - k)^2 / b^2 = 1 for horizontal hyperbola or (y - k)^2 / a^2...
Brian McLogan
How to graph the secant graph
π Learn the basics of graphing the secant and the cosecant graphs. Recall that the secant is the reciprocal of the cosine while the cosecant is the reciprocal of the sine. Also recall that the cosine graph is a sinusoidal graph with...
Brian McLogan
Learn to solve a system by substitution
πLearn how to solve a system of equations by substitution. To solve a system of equations means to obtain a common values of the variables that makes the each of the equation in the system true. To solve a system of equations by...
Brian McLogan
Learn how to graph an inequality that is in standard form and shade
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
Graphing a linear inequality when you have to flip the sign
π 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
Graphing the sine and cosine functions
π 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
Linear programming how to optimize the objective function
Learn how to solve problems using linear programming. A linear programming problem involves finding the maximum or minimum value of an equation, called the objective functions, subject to a system of inequalities, called the constraints....