Brian McLogan
Rotate a figure 90 degrees counter clockwise about the origin
👉 Learn how to apply transformations such as translations, rotations, reflections as well as dilation to points, lines, triangles, and other shapes. When applying transformations we will use certain rules as well as tricks to help you...
Brian McLogan
Given three zeros learn how to write the equation of a polynomial
👉 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
Evaluating the composition of sine and cosine functions
👉 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
Solve system of equations by graphing with a fraction at intersection
👉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
How to determine the domain and range of a quadratic using its vertex
👉 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...
Brian McLogan
Linear Programming problem learn how to solve
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....
Curated Video
Solving Systems of Equations by Linear Combination
This video explains how to solve systems of equations using linear combination, also known as elimination. It demonstrates the process step-by-step and provides examples to help students understand the concept.
Brian McLogan
What is a linear equation
👉 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
What is the rational zero test?
👉 Learn how to use the Rational Zero Test on Polynomial expression. Rational Zero Test or Rational Root test provide us with a list of all possible real Zeros in polynomial expression. Rational Zero Test can be helpful to find all the...
Brian McLogan
Summary for graph a linear inequality
👉 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
how to sketch the graph of a hyperbola in conic sections
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...
Math Fortress
Calculus III: Three Dimensional Coordinate Systems (Level 3 of 10)
This video continues the exploration of a three dimensional Cartesian coordinate system. This video goes over 5 examples covering the proper way to graph equations in R cubed. Equations covered include planes, cylinder, and parabolic...
Brian McLogan
Learn how to graph a rational expression with symmetry about the origin
👉 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
Graphing a Sine Function with a Transformation
👉 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
How to solve a system of 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
Graphing a rational functions with asymptotes
👉 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
Graphing the Tangent Function with a Phase Shift and Reflection Over the X Axis
👉 Learn all about graphing trigonometric functions. In this playlist, we will explore how to graph the sine, cosine, tangent, cotangent, cosecant and secant function. We will explore the characteristics of each graph as well as how to...
Brian McLogan
How To Graph Tangent
👉 Learn how to graph a tangent function. To graph a tangent function, we first determine the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift (the...
Curated Video
Graphing Systems of Linear Inequalities: Representing Solutions and Constraints
In this video, the teacher explains how to model and solve problems with constrained solutions using systems of linear inequalities. The example used is determining the range of scores needed on a college entrance exam to get into a...
Brian McLogan
How to Graph a Piecewise Function and Determine Domain and Range
👉 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
What is the definition of the inverse Tangent function
👉 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
How can we determine if a quadratic has a max or min value
👉 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...
Curated Video
Graphing Quadratic Functions in Intercept Form
This lesson will explain how to graph a quadratic function in intercept form. You will learn how to find the axis of symmetry given the intercepts and how to find the value of a to write a function.