How To Find The Vertex Of A Quadratic?

How do you find the vertex of the quadratic function?

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?

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). This makes sense, if you think about it.

What is the formula for the vertex?

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 –