# How do you find the minimum and maximum of a quadratic equation?

## How do you find the minimum and maximum of a quadratic equation?

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.

**How do you find the maximum value of a quadratic function algebraically?**

**What is the minimum or maximum of a quadratic function called?**

vertex

If a<0 , the graph makes a frown (opens down) and if a>0 then the graph makes a smile (opens up). The extreme point ( maximum or minimum ) of a parabola is called the vertex, and the axis of symmetry is a vertical line that passes through the vertex.

### What is the minimum value of a quadratic function?

The minimum value of a function is the lowest point of a vertex. If your quadratic equation has a positive a term, it will also have a minimum value. You can find this minimum value by graphing the function or by using one of the two equations.

**How do you find minimum and maximum?**

HOW TO FIND MAXIMUM AND MINIMUM VALUE OF A FUNCTION

- Differentiate the given function.
- let f'(x) = 0 and find critical numbers.
- Then find the second derivative f”(x).
- Apply those critical numbers in the second derivative.
- The function f (x) is maximum when f”(x) < 0.
- The function f (x) is minimum when f”(x) > 0.

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

#### What is the maximum minimum of a parabola called?

The highest or lowest point on a parabola is called the vertex. The parabola is symmetric about a vertical line through its vertex, called the axis of symmetry. The figure below shows a parabola opening up with vertex (0.75, 0.875) and axis of symmetry x = 0.75.

**What do you call the maximum or the minimum point of the parabola?**

Vertical parabolas give an important piece of information: When the parabola opens up, the vertex is the lowest point on the graph — called the minimum, or min. When the parabola opens down, the vertex is the highest point on the graph — called the maximum, or max.

**How do you find the maximum or minimum value?**

## What is the minimum value of a parabola?

The minimum value of a parabola is the y-coordinate of the vertex of a parabola that opens up. We can identify the minimum or maximum value of a parabola by identifying the y-coordinate of the vertex.

**How can you tell if a function is quadratic?**

There is an easy way to tell whether the graph of a quadratic function opens upward or downward: if the leading coefficient is greater than zero, the parabola opens upward, and if the leading coefficient is less than zero, the parabola opens downward.

**How do you calculate the vertex of a quadratic function?**

You can think of the formula for finding the vertex of a quadratic function as being (x, y) = [(-b/2a), f(-b/2a)]. This just means that to get the y value, you have to find the x value based on the formula and then plug it back into the equation.

### How do I find the equation of quadratic function using Excel?

Solve Quadratic Equation in Excel using Formula. The format of a quadratic equation is x=(-b±√(b^2-4ac))/2a .By using this formula directly we can find the roots of the quadratic function. In the below picture we calculate the roots of the quadratic functions.