Brian McLogan
What are the x and y intercepts of a quadratic equation
π Learn the essentials for graphing a quadratic equation. 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...
Curated Video
Factorizing Quadratics: Advanced Methods and Difference of Two Squares
The video provides a tutorial on factorizing quadratics with a coefficient of 'a' greater than one. The presenter explains how to use a variation of the sum and product rule to find the two numbers that add up to the linear coefficient...
KnowMo
Factorising Quadratics - Understanding the Process and Methods
The video is a lecture presentation on the topic of factorizing quadratics in algebra. The speaker provides an overview of the concept, emphasizing that factorizing is the reverse of expanding and involves putting the quadratic...
Brian McLogan
Learn how to visualize factoring
πLearn 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...
Brian McLogan
Factoring using the difference of two squares with multiple terms, 64m^2 - 9y^2
πLearn how to factor quadratics using the difference of two squares method. When a quadratic contains two terms where each of the terms can be expressed as the square of a number and the sign between the two terms is the minus sign, then...
Brian McLogan
How to find the value c that completes the square of a quadratic, x^2 - 20x + c
π 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....
Brian McLogan
Find the zeros and multiplicity by factoring a polynomial
π Learn how to find all the zeros of a polynomial that cannot be easily factored. 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...
Brian McLogan
Algebra 2 - Applying the quotient property of logarithms to solve an equation
In this video series I will show you how to apply the properties of logarithms to solve an equation. The three main properties of logarithms we will focus on will be the product, quotient, and power rule of exponents. We will apply these...
Brian McLogan
Determine the domain and range of a quadratic by rewriting in vertex form
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
Complete the square to find the vertex and determine absolute max or min
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...
Curated Video
Graphing Quadratic Functions and Transformations
In this lesson, we will learn how to graph quadratic functions in the form F of X equals ax squared. We will review vocabulary, characteristics of quadratic functions, and two transformations: vertical shrink and vertical stretch. We...
Brian McLogan
Learn How to Use Inverse Operations to Solve Radical Expressions
π Learn how to solve radical (square root) equations having one radical term. To solve a radical (square root) equation having one radical terms, we isolate the radical term by placing it in one side of the equation. Next, we get rid of...
Brian McLogan
Finding the vertex from a quadratic equation by using the standard form
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
Given different transformations, learn how to write the equation of a cubic function
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
What are the transformations for exponential graphs
π Learn all about graphing exponential functions. An exponential function is a function whose value increases rapidly. To graph an exponential function, it is usually useful to first graph the parent function (without transformations)....
Brian McLogan
Learn how to convert to vertex form by completing the square and then graph, y=x^2+4x+7
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
How do you factor a polynomial using the difference of two squares
π Learn how to factor polynomials using the difference of two squares for polynomials raised to higher powers. 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...
Brian McLogan
How do you find the axis of symmetry and vertex in intercept form
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
Find the value c that completes the square, x^2 - 4x + c
π 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....
Brian McLogan
Master Determining the vertices, foci, and aymptotes of a hyperbola by completing the square
Master Determining the vertices, foci, and aymptotes of a hyperbola by completing the square
Brian McLogan
What can we learn from a quadratic in vertex form, y = -3(x - (1/2))^2 - 5
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 find the solutions x intercepts and vertex of a quadratic in vertex form ex 7
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
Identify the vertex and max min by completing the square
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...