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Parabola | Equation, Formula & Examples - Lesson | Study.com
2023年11月21日 · A parabola is a roughly U-shaped curve that results from a quadratic function (a function in which the highest exponent is a 2).. The turning point of the U is called the vertex.In Figure 1, the ...
Parabola | Definition, Formula & Examples - Lesson | Study.com
2023年11月21日 · A parabola is a shape that actually has many uses and applications in the real world. The easy parabola definition is a U-shaped curved line. A parabola consists of a vertex, the point where it ...
Equation of a Parabola | Focus & Directrix Formula
2023年11月21日 · The parabola equation in standard form for finding the length between two points is the square root of the sum of the squared differences in each coordinate. For this case, ...
Parabola in Standard Form | Graphing, Rules & Examples
2023年11月21日 · The equation of a parabola can be expressed in standard form and vertex form. The standard form of a parabola is The standard form of a parabola is {eq}y=ax^2+bx+c {/eq} where a, b, and c are ...
X & Y Intercepts of a Parabola | Graph and Quadratic Equation
2023年11月21日 · A parabola is a U-shaped graph that always has an x-squared term in its equation. The graph will open either up, like a smiley face, or down, like a sad face, and the vertex will be the lowest ...
Parabola | Definition & Parabolic Shape Equation - Lesson
2023年11月21日 · A parabola equation has the parent equation of y=x^2 and the standard form of y=ax^2+bx+c. An example of a parabola could be y=x^2+1. What is a parabola in simple terms?
Axis of Symmetry | Definition, Equation & Examples
2023年11月21日 · The quadratic equation for the parabola in Figure 3 is x 2 + 4x + 6. The quadratic equation for the parabola in Figure 4 is -x 2 + 6x - 8. We can also use these quadratic equations to find the ...
Types of Parabolas | Overview, Graphs & Examples - Study.com
2023年11月21日 · A parabola is the shape of a quadratic function graph.There are two types of parabolas, positive (opening up) or negative (opening down). A parabola has many key features including a vertex, x ...
How to Derive the Equation of a Parabola Given its Focus & Directrix
How to Derive the Equation of a Parabola Given its Focus & Directrix. Step 1: Use the directrix to determine the orientation of the parabola.. If the equation of the directrix is of the form {eq}y ...
Directrix & Focus of a Parabola | Equation & Examples
2023年11月21日 · A parabola is a curve representing a quadratic equation y = ax 2 + bx + c. It has the shape of a U or an upside down U, and the lowest or highest point of the parabola is called its vertex .