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It can be written in the form y = ax2 + bx + c where a, b and c are constants and a ≠ 0

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How can you determine if a function is a quadratic function from its equation?

If the highest exponent of independent variable(say x) is 2 and the highest exponent of dependent variable(say y) is 1 and x and y are not multiplied, then the function is quadratic. For example: 3x-y+x2= 2y-5x+7 represents a quadratic function but y= xy+x2+5 doesn't represent a quadratic function.


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.


What part of speech is quadratic function?

A quadratic function is a noun. The plural form would be quadratic functions.


What is the degree of a quadratic function?

A quadratic function will have a degree of two.


How To Determine The Roots Of Quadratic Function?

x = [ -b ± √(b2-4ac) ] / 2a Using this formula you get 2 roots for + and -


How do you look at a graph and tell what the quadratic function i?

To determine the quadratic function from a graph, first identify the shape of the parabola, which can open upwards or downwards. Look for key features such as the vertex, x-intercepts (roots), and y-intercept. The standard form of a quadratic function is ( f(x) = ax^2 + bx + c ), where ( a ) indicates the direction of the opening. By using the vertex and intercepts, you can derive the coefficients to write the specific equation of the quadratic function.


Why is a quadratic function called a quadratic function?

A quadratic function is a second degree polynomial, that is, is involves something raised to the power of 2, also know as squaring. Quadratus is Latin for square. Hence Quadratic.


What is the definition of a Vertex form of a quadratic function?

it is a vertices's form of a function known as Quadratic


What do you call the graph of a quadratic function?

the graph of a quadratic function is a parabola. hope this helps xP


What part of speech is function?

A quadratic function is a noun. The plural form would be quadratic functions.


What makes a function have a graph that is quadratic?

That the function is a quadratic expression.


Why is a quadratic function a function of x having the highest degree 2?

It follows from the definition of a quadratic funtcion.