Brian McLogan
Learn how to write the equation of a parabola given the vertex and a point
π Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
Brian McLogan
Complete the square to find the vertex of a parabola
π Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
Learn how to write the equation of a parabola given the vertex and a point on the graph
π Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
Brian McLogan
Learning how to divide two polynomials using long division
π Learn how to divide polynomials by quadratic divisors using the long division algorithm. Before dividing a polynomial, it is usually important to arrange the divisor in the descending order of powers of the variable(s). To divide a...
Brian McLogan
Learn how to find the horizontal asymptote
π Learn how to find the vertical/horizontal asymptotes of a function. An asymptote is a line that the graph of a function approaches but never touches. The vertical asymptote is a vertical line that the graph of a function approaches but...
Brian McLogan
Transfer an equation standard form to vertex form when b is not divisible
π Learn how to write a quadratic equation from standard form to vertex form by completing the square. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. It is of the form f(x) = ax^2 + bx + c. Given a...
Curated Video
Introduction to Scientific Notation and Converting Between Standard Form and Scientific Notation
In this lesson on scientific notation, you will learn how to read and write numbers in scientific notation and standard form. You will also learn how to convert numbers from one form to the other and how to compare numbers written in...
Brian McLogan
Finding the vertex and x-intercepts of a quadratic function
π Learn how to graph a quadratic equation in standard form. To do this we will explore multiple methods such as the intercept method, identifying the vertex, axis of symmetry and identifying points on the graph using a table. Once you...
Brian McLogan
How to find the LC and degree of a polynomial by writing in standard form
π Learn how to find the degree and the leading coefficient of a polynomial expression. The degree of a polynomial expression is the the highest power (exponent) of the individual terms that make up the polynomial. For terms with more...
Brian McLogan
How to put a linear equation into standard form with fraction coefficients
π Learn how to write the equation of a line in a point-slope form. 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 forms which we can...
Brian McLogan
Learn how to evaluate for sine using coterminal and reference angles
π Learn how to evaluate trigonometric functions of a given angle. Given an angle greater than 2pi in radians, to evaluate the trigonometric functions of the given angle, we first determine the smallest positive coterminal angle of the...
Brian McLogan
Find the center and radius of a circle by completing the square
Find the center and radius of a circle by completing the square
Brian McLogan
Learn how to graph negative radians in terms of pi
π Learn how to sketch angles in terms of pi. An angle is the figure formed by two rays sharing the same endpoint. Angle is measured in radians or in degrees. One complete revolution about a point is equivalent to 2pi radians and 360...
Brian McLogan
Find the reference angle and sketch both angles in standard position
π Learn how to sketch angles in terms of pi. An angle is the figure formed by two rays sharing the same endpoint. Angle is measured in radians or in degrees. One complete revolution about a point is equivalent to 2pi radians and 360...
Brian McLogan
MASTER How to write the equation of a parabola in vertex and standard form given the vertex and thro
MASTER How to write the equation of a parabola in vertex and standard form given the vertex and thro
Brian McLogan
How to write an equation in standard and vertex form given a point and vertex
π Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
Brian McLogan
How to complete the square with a coefficient to find the vertex of a parabola
π Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
Brian McLogan
MASTER how to find the vertex and determine domain and range of a quadratic in vertex form
MASTER how to find the vertex and determine domain and range of a quadratic in vertex form
Brian McLogan
Write polynomial equation from linear factorization
Write polynomial equation from linear factorization
Brian McLogan
Solve a system of equations by graphing in standard form
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
Learn how to rewrite an equation from standard to vertex form so we can graph, y=x^2+6x+2
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
Learn how to graph in vertex form by converting using completing the square, y=x^2+8x+10
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...
Curated Video
Multiplying Polynomials Four Ways
In this video lesson, you will learn to multiply polynomials. I will model four methods. First we will use the Distributive Property and the Vertical Method. I will model my favorite method using a table. FOIL is an acronym to support...
Brian McLogan
How to find the zeros of a polynomial using the sum of two cubes
π Learn how to find the zeroes of a polynomial equation/expression involving the sum/difference of two cubes. Given a polynomial having the sum of two cubes, the polynomial can be factored as follows: a^3 + b^3 = (a + b)(a^2 - ab + b^2)....