Instructional Video10:43
Brian McLogan

How to find the foci, center and vertices, and asymptotes of a hyperbola

12th - Higher Ed
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...
Instructional Video8:35
Brian McLogan

Completing the square to identify the max,min, vertex and axis of symmetry

12th - Higher Ed
We will learn how to graph a quadratic in vertex form and graph a quadratic in standard form by completing the square and rewriting the equation in vertex form. When the quadratic is in vertex form we learn how to identify the axis of...
Instructional Video3:10
Brian McLogan

Learn how to find all the possible rational zeros of a polynomial

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video10:00
Brian McLogan

How to divide a trinomial into a polynomial using long division

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video17:04
Brian McLogan

Standard form to vertex form of a quadratic function

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video10:43
Brian McLogan

Solving a quadratic by completing the square

12th - Higher Ed
πŸ‘‰ Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Instructional Video5:19
Brian McLogan

Completing the square of two functions

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video2:29
Brian McLogan

Subtracting two radical expressions when the coefficients are not the same

12th - Higher Ed
πŸ‘‰ Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract...
Instructional Video6:14
Brian McLogan

How to solve a quadratic equation by completing the square when a is not one

12th - Higher Ed
πŸ‘‰ Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Instructional Video1:38
Brian McLogan

How to find the value c that completes the square of a quadratic, x^2 - 20x + c

12th - Higher Ed
πŸ‘‰ Learn how to find the value c that completes the square in a quadratic expression. A quadratic expression is an expression whose highest exponent in the variable(s) is 2. It is of the form ax^2 + bx + c where a, b, and c are constants....
Instructional Video5:46
Brian McLogan

Graphing a quadratic with reflection and vertical stretch

12th - Higher Ed
πŸ‘‰ Learn how to graph quadratic equations in vertex form. 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 can either...
Instructional Video3:07
Brian McLogan

Finding the solutions by completing the square by factoring out a number

12th - Higher Ed
πŸ‘‰ Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Instructional Video3:15
Brian McLogan

Transfer an equation from standard form to vertex form

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video5:15
Brian McLogan

Solving by Completing the square by factoring out a negative one

12th - Higher Ed
πŸ‘‰ Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Instructional Video2:48
Brian McLogan

Solving a quadratic by completing the square

12th - Higher Ed
πŸ‘‰ Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Instructional Video4:31
Brian McLogan

Learn how solve a quadratic by completing the square with fractions

12th - Higher Ed
πŸ‘‰ Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Instructional Video3:07
Brian McLogan

Completing the square to solve a quadratic function

12th - Higher Ed
πŸ‘‰ Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Instructional Video4:15
Brian McLogan

How to factor a trinomial when a is one

12th - Higher Ed
πŸ‘‰Learn how to factor quadratics. A quadratic is an algebraic expression having two as the highest power of its variable(s). To factor an algebraic expression means to break it up into expressions that can be multiplied together to get...
Instructional Video2:35
Brian McLogan

Learn how to factor out the GCF then use difference of two squares

12th - Higher Ed
πŸ‘‰Learn the basics of factoring quadratics by using different techniques. Some of the techniques used in factoring quadratics include: when the coefficient of the squared term is not 1. In that case, we first write the quadratic in...
Instructional Video11:05
Brian McLogan

Learn how to solve a quadratic by completing the square with fraction

12th - Higher Ed
πŸ‘‰ Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Instructional Video5:13
Brian McLogan

Learn how to write the end behavior from a polynomial in factored form

12th - Higher Ed
πŸ‘‰ Learn how to determine the end behavior of the graph of a factored polynomial function. To do this we will first need to make sure we have a polynomial in standard form (i.e. we will expand all factored terms) with descending powers....
Instructional Video6:10
Brian McLogan

Completing the square to solve a quadratic with irrational solutions

12th - Higher Ed
πŸ‘‰ Learn how to solve quadratic equations by completing the square. When solving a quadratic equation by completing the square, we first take the constant term to the other side of the equation and create a perfect square trinomial with...
Instructional Video2:28
Brian McLogan

Complete the square to write the equation from standard form to vertex form

12th - Higher Ed
πŸ‘‰ 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...
Instructional Video2:56
Brian McLogan

How to apply transformations to graph the quadratic equation

12th - Higher Ed
πŸ‘‰ Learn how to graph quadratic equations in vertex form. 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 can either...