Brian McLogan
Learn how to write the equation of the tangent line to a quadratic
👉 Learn how to find and write the equation of the tangent line of a curve at a given point. The tangent of a curve at a point is a line that touches the circumference of the curve at that point. To find the equation of the tangent line...
Brian McLogan
Subtract two quadratic equations to determine the domain
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Brian McLogan
Solve an equation using the square root method
👉Learn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
How to find the discriminant and label the solutions of a quadratic
👉 Learn how to determine the discriminant of quadratic equations. A quadratic equation is an equation whose highest power on its variable(s) is 2. The discriminant of a quadratic equation is a formula which is used to determine the type...
Curated Video
Introduction to Sketching Graphs
This video provides an introduction to sketching graphs, discussing important points to consider such as the shape of the graph, its intersection, and turning points. The speaker reviews the general shapes of common graphs such as...
Brian McLogan
Solve a quadratic equation using the quadratic formula when their are imaginary solutions
👉 Learn how to solve quadratic equations using the quadratic formula. A quadratic equation is an equation whose highest power on its variable(s) is 2. The quadratic formula is a formula which can be used to find the roots of (solve) a...
Let's Tute
Relationship Between Zeroes And Coefficient of Polynomials
In this video we will learn about the Relationship Between Zeroes And Coefficient of Polynomials. This video will cover topics such has General form, Sum of Zeroes, Product of Zeroes, Sum of product of Zeroes and solve some problems .
Brian McLogan
Applying the equality of logarithms to solve an equation, log3 (3x + 8) = log3 (x^2 + x)
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
FuseSchool
Solving Algebraic Fractions
Algebraic fractions are simply fractions with algebraic expressions either on the top, bottom or both. We treat them in the same way as we would numerical fractions. In part 1 we saw how to simplify, and add and subtract algebraic...
Brian McLogan
Graphing a quadratic using a table and axis of symmetry
👉 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
Finding the vertex of a quadratic function
👉 Learn about the parts of a parabola. A parabola is the shape of the graph of a quadratic equation. A regular parabola is the parabola that is facing either up or down while an irregular parabola faces left or right. A quadratic...
Brian McLogan
Determine the vertices, foci and center by converting an ellipse to standard form
Learn how to graph horizontal ellipse which equation is in general form. A horizontal ellipse is an ellipse which major axis is horizontal. When the equation of an ellipse is written in the general form, we first rewrite it in standard...
Brian McLogan
Complete the square to find the focus directrix and vertex in conic sections parabola
Learn how to graph a parabola in when it is given in general form. To graph a parabola in conic sections we will need to convert the equation from general form to standard form by completing the square. Once it is in standard form we can...
Brian McLogan
Add an absolute value function and quadratic to find the domain
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Brian McLogan
Graph axis of symmetry vertex and max and min, domain and range
👉 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
Learn how to describe a horizontal translation
👉 Learn how to identify transformations of functions. Transformation of a function involves alterations to the graph of the parent function. The transformations can be dilations, translations (shifts), reflection, stretches, shrinks,...
Brian McLogan
Find the difference of two quadratic equations to find the domain
👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Brian McLogan
Learn how to use the formula for vertex and axis of symmetry to graph a parabola
👉 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
Given One Factor Using Synthentic Division to Determine the Remaining Zeros
👉 Learn how to find all the zeros of a polynomial given one rational zero. 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...
Brian McLogan
Write the equation in standard form by completing the square to find vertex, focus and directrix
Learn how to graph a horizontal parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be horizontal if it opens to the left or opens to the right. A horizontal parabola results from a quadratic...
Brian McLogan
Evaluate the limit of a quadratic function by observing the graph
👉 Learn how to evaluate the limit of a function involving polynomials. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a...
Brian McLogan
Learn how to graph the parent graph of a quadratic equation in standard form using a table
👉 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
Graphing a quadratic by converting to vertex form
👉 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
Given the vertex and focus learn to write the equation of the parabola in standard form
Learn how to write the equation of a parabola given the vertex and the focus. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared). Recall...