Brian McLogan
Finding the domain range and graphing a quadratic
π Learn how to graph quadratics in standard form. 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...
Brian McLogan
What is the slope of a linear equation
π Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To...
Brian McLogan
How to solve by graphing a system of linear 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)...
Brian McLogan
How to Find the Multiplicity from a Set of Polynomial Factors
π Learn how to find all the zeros of a factored polynomial. 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 zeros of a polynomial are the...
Curated Video
Determining No Solution in a System of Linear Equations by Graphing
This video lesson teaches students how to determine if a system of two linear equations in two variables has no solution by graphing. It explains the concept of slope-intercept form, where the slope and y-intercept of an equation can be...
Brian McLogan
Graphing an exponential function with e as the base
π Learn how to graph exponential functions in base e. An exponential function is a function whose value increases rapidly. e is a constant called the exponential constant equal to 2.7183... To graph an exponential function, it is usually...
Brian McLogan
How do you algebraically find the axis of symmetry of a quadratic
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
How to solve a system of equations of two perpendicular lines 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)...
Brian McLogan
Graph Piecewise Functions
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
How do find the x and y intercepts and graph
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
Summary for graph an equation in Standard form
π Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To...
Brian McLogan
Graphing a rational function with no horizontal asymptote
π Learn how to graph a rational function. To graph a rational function, we first find the vertical and horizontal or slant asymptotes and the x and y-intercepts. After finding the asymptotes and the intercepts, we graph the values and...
Brian McLogan
Overview of one to one functions
π 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 an absolute value equation with transformations and a vertical stretch
π Learn how to graph absolute value equations when we have a value of b other than 1. B will affect our horizontal shift as well as horizontal stretch compress. We will do this by first identifying the axis of symmetry and using a table...
Curated Video
Graphing Linear Inequalities with Greater Than or Greater Than or Equal to Symbols
In this video, the teacher explains how to graph linear inequalities with greater than or greater than or equal to symbols. They demonstrate the process of finding solutions and plotting them on a coordinate plane, while also explaining...
Curated Video
Recognizing Patterns on a Coordinate Plane
In this video, the teacher explains how to recognize patterns by comparing and graphing them on a coordinate plane. They use the example of movie ticket prices to demonstrate this concept. The teacher guides students through creating a...
Curated Video
Graphing Quadratic Functions: Identifying Features and Direction
In this video, the teacher explains the concept of parabolas and how to determine whether they open up or down. They also review the order of operations and the standard form of a quadratic function.
Brian McLogan
Learn to graph a line 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...
Curated Video
Proportional Relationships
What factors do we need to pay attention to when comparing a relationship? Let's look at a few examples to answer this question and learn the different ways we can represent a proportional relationship.
Brian McLogan
Learn how to graph a linear inequality
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
Review of transformations of functions from Algebra 2
π Learn how to determine the transformation of a function. Transformations can be horizontal or vertical, cause stretching or shrinking or be a reflection about an axis. You will see how to look at an equation or graph and determine the...
Math Fortress
Calculus III: Three Dimensional Coordinate Systems (Level 10 of 10)
This video concludes the exploration of a three dimensional Cartesian coordinate system. This video covers 2 examples illustrating the appropriate way of graphing equations in three dimensional space that are restricted to a given...
Brian McLogan
Learn to graph a logarithm with a reflection and translation
π 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
How to graph logarithmic equations
π 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...