Finding the vertex of a quadratic equation is easy once you know the steps! A quadratic equation in standard form looks like this:
[ y = ax^2 + bx + c ]
Here’s how to find the vertex:
Identify coefficients: First, find the numbers for and in your equation.
Use the vertex formula: To find the -coordinate of the vertex, use this formula:
[ x = -\frac{b}{2a} ]
Find the -coordinate: After you get the value, put it back into the original equation. This will help you find the -coordinate.
So, your vertex is at the point
[ \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right) ]
This way of finding the vertex is really simple! It’s also super helpful when you need to switch between standard and vertex forms of a quadratic equation.
Finding the vertex of a quadratic equation is easy once you know the steps! A quadratic equation in standard form looks like this:
[ y = ax^2 + bx + c ]
Here’s how to find the vertex:
Identify coefficients: First, find the numbers for and in your equation.
Use the vertex formula: To find the -coordinate of the vertex, use this formula:
[ x = -\frac{b}{2a} ]
Find the -coordinate: After you get the value, put it back into the original equation. This will help you find the -coordinate.
So, your vertex is at the point
[ \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right) ]
This way of finding the vertex is really simple! It’s also super helpful when you need to switch between standard and vertex forms of a quadratic equation.