How Do You Determine if the Vertex Will Be a Maximum or Minimum?

How Do You Determine if the Vertex Will Be a Maximum or Minimum?

Note:

The vertex of a quadratic equation is either a maximum or a minimum of the function. But how do you tell if it will be a maximum or a minimum? Watch this tutorial and find the answer to that question!

Keywords:

problem

skill

determine

graph

quadratic function

maximum

minimum

Background Tutorials

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

If you graph a linear function, you get a line. If you graph a quadratic function, you get something called a parabola. A parabola tends to look like a smile or a frown, depending on the function. Check out this tutorial and learn about parabolas!

Graph linear and quadratic functions and show intercepts, maxima, and minima.

You can't go through algebra without seeing quadratic functions. The graphs of quadratic functions are parabolas; they tend to look like a smile or a frown. In this tutorial, get introduced to quadratic functions, look at their graphs, and see some examples of quadratic functions!

Further Exploration

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

When you're trying to graph a quadratic equation, making a table of values can be really helpful. Before you make a table, first find the vertex of the quadratic equation. That way, you can pick values on either side to see what the graph does on either side of the vertex. Watch this tutorial to see how you can graph a quadratic equation!