Brian McLogan
How to sketch a parabola by finding the focus and directrix
Learn how to graph a vertical parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be vertical if it opens up or opens down. A vertical parabola results from a quadratic equation in which the x...
Brian McLogan
Graphing the parabola by completing the square and find the 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
What do I need to know to graph a quadratic in vertex form
👉 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 function in standard form
👉 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
Writing the equation of a parabola in standard form from conic sections
Learn how to write the equation of a parabola given the vertex and the directrix. 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)....
Brian McLogan
Given the graph of an ellipse find the equation
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Brian McLogan
Given the vertex and a point, write the equation of a parabola in vertex and standard form
👉 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
When given the vertices and eccentricity find the equation of an ellipse
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...
Brian McLogan
What are bounded functions and how do you determine the boundness
👉 Learn about the characteristics of a function. Given a function, we can determine the characteristics of the function's graph. We can determine the end behavior of the graph of the function (rises or falls left and rises or falls...
Brian McLogan
Identifying multiple characteristics from the equation of a parabola
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...
Brian McLogan
How to graph a parabola with a horizontal axis of symmetry
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
How to find the focus of a parabola given an equation
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
Summary for solving a quadratic in standard form
👉Learn how to solve quadratic functions. Quadratic equations are equations whose highest power in the variable(s) is 2. They are of the form y = ax^2 + bx + c. There are various techniques which can be applied in solving quadratic...
Brian McLogan
How to determine the domain and range and graph
👉 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
Graphing a quadratic function in standard form
👉 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
What is the definition of an inscribed angle
Learn the essential definitions of the parts of a circle. A secant line to a circle is a line that crosses exactly two points on the circle while a tangent line to a circle is a line that touches exactly one point on the circle. A chord...
Brian McLogan
What are vertical angles
👉 Learn how to define angle relationships. Knowledge of the relationships between angles can help in determining the value of a given angle. The various angle relationships include: vertical angles, adjacent angles, complementary angles,...
Brian McLogan
Determining Vertical Angles from Parallel Lines and a Transversal
👉 Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior....
Brian McLogan
Graph a parabola with the vertex and fractions
Learn how to graph a parabola in standard form when the vertex is not at the origin. We will learn how to graph parabola's with horizontal and vertical openings. In addition to graphing you will also learn how to identify the important...
Brian McLogan
Finding the standard form of a parabola given directrix and vertex
Learn how to write the equation of a parabola given the vertex and the directrix. 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)....
Brian McLogan
Learn how to write the standard form of a parabola given the focus and vertex
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...
Brian McLogan
Graphing a quadratic function in standard form
👉 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
Write the equation of the parabola for conic sections given vertex and focus (mistake)
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...
Brian McLogan
Write the equation of an ellipse given the center, vertex and focus
Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical...