Question

How do you find the vertex with quadratic functions

Answer 1

To find the vertex of a quadratic function, we can use the vertex formula, which is opposite of b over 2 times a. The vertex formula gives us the x-coordinate of the vertex. Once we have the x-coordinate, we can substitute it into the quadratic function to get the y-coordinate of the vertex.

Here’s an example of how to find the vertex of the quadratic function y = ax^2 + bx + c:

Identify the values of a, b, and c.

Use the vertex formula to find the x-coordinate of the vertex: x = -b / (2a).

Substitute the x-coordinate into the quadratic function to get the y-coordinate of the vertex: y = a(x^2) + b(x) + c.

Answer 2

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.

Explanation: