# How do you find the minimum of a function?

## How do you find the minimum of a function?

You can find this minimum value by graphing the function or by using one of the two equations. If you have the equation in the form of y = ax^2 + bx + c, then you can find the minimum value using the equation min = c – b^2/4a.

**How do you find the maximum or minimum of a function?**

Finding max/min: There are two ways to find the absolute maximum/minimum value for f(x) = ax2 + bx + c: Put the quadratic in standard form f(x) = a(x − h)2 + k, and the absolute maximum/minimum value is k and it occurs at x = h. If a > 0, then the parabola opens up, and it is a minimum functional value of f.

### What is minimum () in math?

The smallest value. The minimum of {14, 4, 16, 12} is 4.

**How do you find the maximum of a function?**

If you are given the formula y = ax2 + bx + c, then you can find the maximum value using the formula max = c – (b2 / 4a). If you have the equation y = a(x-h)2 + k and the a term is negative, then the maximum value is k.

#### How do you find the minimum of a set of data?

The minimum is the first number listed as it is the lowest, and the maximum is the last number listed because it is the highest.

**What is minimum in quadratic function?**

Minimum Value of a Quadratic Function The minimum value is ‘y’ coordinate at the vertex of the parabola. Note : There is no maximum value for the parabola which opens up.

## What is minimum example?

6. 1. Minimum means the lowest amount or allowable amount of something. An example of a minimum is 40 miles per hour as the lowest speed allowed on a parkway. noun.

**How do you find the maximum and minimum of a function on a calculator?**

Press 2nd, then CALC (above the TRACE key). Choose 4: maximum or 3: minimum. The calculator will ask you for a left bound, a right bound, and a guess for the maximum or minimum. You can enter these by using your left and right arrows to move the cursor to a reasonable x-value, then pressing ENTER.