Parabolas always have a lowest point (or a highest point, if the parabola is upside-down).
This point, where the parabola changes direction, is called the “vertex”.
If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).
How do you find the vertex of a quadratic equation?
We find the vertex of a quadratic equation with the following steps:
- Get the equation in the form y = ax2 + bx + c.
- Calculate -b / 2a. This is the x-coordinate of the vertex.
- To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.
How do you find the vertex of a parabola?
How to find the vertex of a parabola in vertex form –
What is the vertex formula?
y = a(x – h)2 + k, where (h, k) is the vertex. in y = ax2 + bx + c (that is, both a’s have exactly the same value).
How do you find the vertex of a quadratic function without graphing?
Finding the Vertex and Intercepts Without Graphing –