Search results
Mar 12, 2024 · Enter the coefficients a, b and c of the standard form of your quadratic equation. Let's assume that the equation is y = 2x² + 3x - 4, what means that a = 2, b = 3 and c = -4. Calculate the coordinates of the vertex, using the formulas listed above: h = - b/ (2a) = -3/4 = -0.75. k = c - b²/ (4a) = -4 - 9/8 = -5.125.
vertex\:(y-2)=3(x-5)^2 ; vertex\:3x^2+2x+5y-6=0 ; vertex\:x=y^2 ; vertex\:(y-3)^2=8(x-5) vertex\:(x+3)^2=-20(y-1) Show More
People also ask
How to find a parabola equation in vertex form?
What is the vertex of a parabola?
How to convert a parabola from vertex to standard form?
How to write a quadratic vertex form of a parabola?
Jan 18, 2024 · To convert a parabola from vertex to standard form: Write down the parabola equation in the vertex form: y = a(x-h)² + k. Expand the expression in the bracket: y = a(x² - 2hx + h²) + k. Multiply the terms in the parenthesis by a: y = ax² - 2ahx + ah² + k. Compare the outcome with the standard form of a parabola: y = ax² + bx + c.
- Wojciech Sas
Free online graphing calculator - graph functions, conics, and inequalities interactively
Vertex of a Parabola Calculator. Y = X 2 + X +. Vertex X Coordinate : Vertex Y Coordinate : The vertex of parabola or a quadratic equation is the lowest or highest point of that equation. Vertex of Quadratic Equation (parabola) Formula: Y = aX 2 + bX + c (a≠0) Then Vertex X Coordinate = -b/2a, Y coordinate = f (-b/2a).
An online parabola calculator finds the standard and vertex parabolic equations and calculates the focus, direction, vertex, and important points of the parabola. Additionally, the parabola grapher displays the graph for the given equation. What is Parabola? It is defined as a special curve that has shaped like an arch.
Our online calculator finds the coordinates of the vertex of the parabola with step by step solution. To start, one need to enter the parabola equation and specify its variable. The parabola equation can be entered in different formats, and coefficients can be not only numbers or fractions but also the parameters.
