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Brian McLogan
Learning to Determine the Amplitude and Period of a Sine Function
π Learn how to graph a sine function. To graph a sine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the...
Brian McLogan
Graphing the Cosecant Function
π Learn how to graph a cosecant function. To graph a cosecant function, we start with the sine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the...
Brian McLogan
How do you find the vertex of a parabola
π 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...
KnowMo
Equations of a Straight Line from Coordinates
This video provides a lecture on how to calculate the equation of a straight line using coordinates. The presenter explains the formula for a linear graph, which is Y = MX + C, where M is the gradient and C is the Y-intercept. The video...
Brian McLogan
Learn How to Factor a Polynomial to Determine the Zeros
π Learn how to find all the zeros of a 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 values...
Brian McLogan
Master How to graph a polynomial in factored form
Master How to graph a polynomial in factored form
Curated Video
Graphing Piecewise-Defined Functions
In this video, the teacher explains how to graph piecewise-defined functions by graphing each function separately and then restricting the domain. They review graphing horizontal lines and graphing inequalities on a number line to...
Brian McLogan
Math tutorial for graphing an exponential equation
π Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...
Brian McLogan
Writing the equation of a polynomial given three different zeros
π Learn how to write the equation of a polynomial when given rational zeros. Recall that 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...
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
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 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...