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A quadratic function is a function where a variable is raised to the second degree (2). Examples would be x2, or for more complexity, 2x2+4x+16.

The quadratic formula is a way of finding the roots of a quadratic function, or where the parabola crosses the x-axis. There are many ways of finding roots, but the quadratic formula will always work for any quadratic function.

In the form ax2+bx+c, the Quadratic Formula looks like this:

x=-b±√b2-4ac

_________

2a

The plus-minus means that there can 2 solutions.

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Q: What is the difference between quadratic function and quadratic formula?
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Continue Learning about Algebra

Why does the discriminant determine the number and type of the solutions for a quadratic equation?

A quadratic equation is wholly defined by its coefficients. The solutions or roots of the quadratic can, therefore, be determined by a function of these coefficients - and this function called the quadratic formula. Within this function, there is one part that specifically determines the number and types of solutions it is therefore called the discriminant: it discriminates between the different types of solutions.


How do you solve Quadratic functions?

All you do is set the quadratic function to equal to 0. Then you can either factor or use the quadratic formula to solve for your unknown variable.


Real life application of a quadratic function?

I think its the dropping of a golf ball off a building! This is because the formula for velocity when something is dropped is a quadratic formula, that is of degree 2.


What is the difference between a quadratic equation and the Quadratic Formula?

A quadratic equation is any type of equation that can be represented as ax2 + bx + c. Example: x2 - 20x + 91 = 0. (a, b, c are known. They are the coefficients.) The coefficient of x2 is always a here. In this case, 1. The coefficient of x = b. In this case -20 (remember it's minus not plus). C is the constant. In this case that is 91. The quadratic formula is a straightforward (though it may seem complicated at first) formula which can solve any quadratic equation. http://bit.ly/1bBARRN There you have an image of the formula.


What formula name that gives the solutions for x in a quadratic equation?

This formula is called the quadratic formula.

Related questions

What is the difference between quadratic formula and quadratic equation?

There are an infinite number of different quadratic equations. The quadratic formula is a single formula that can be used to find the pair of solutions to every quadratic equation.


How do you find out the formula for a Quadratic Sequence?

A quadratic sequence is when the difference between two terms changes each step. To find the formula for a quadratic sequence, one must first find the difference between the consecutive terms. Then a second difference must be found by finding the difference between the first consecutive differences.


What is the difference between a formula and a function?

A function has no repeated x values


What is the difference between a function and a formula?

A function has no repeated x values


What is the formula for quadratic function?

f(x) = ax^2 + bx + c, where a != 0 (for obvious reason: it wouldn't be a quadratic function)


Can you use the quadratic formula after reducing a polynomial to a quartic function?

No.


Once you have reduced a polynomial to a quadratic function you can always use the quadratic formula to finish the problem?

True


What is a solution of a quadratic?

A quadratic function is ax2+bx+c You can solve for x by using the quadratic formula, which, as the formula requires the use of square roots, would be tricky to put here.


Why does the discriminant determine the number and type of the solutions for a quadratic equation?

A quadratic equation is wholly defined by its coefficients. The solutions or roots of the quadratic can, therefore, be determined by a function of these coefficients - and this function called the quadratic formula. Within this function, there is one part that specifically determines the number and types of solutions it is therefore called the discriminant: it discriminates between the different types of solutions.


How do you solve Quadratic functions?

All you do is set the quadratic function to equal to 0. Then you can either factor or use the quadratic formula to solve for your unknown variable.


Different between consumption and consumption function?

The difference between consumption and consumption function is that the consumption function is a formula that measures consumer spending.


How quadratic function applied to your daily living?

Do you mean the quadratic formula? Not much; this would be more likely to be used by a scientist or engineer.