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If the quadratic function is written as ax2 + bx + c, then it has no x-intercepts if the discriminant, (b2 - 4ac), is negative.

Q: What determines if a quadratic function has no x-intercepts?

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The slope of your quadratic equation in general form or standard form.

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

That the function is a quadratic expression.

A linear function is a line where a quadratic function is a curve. In general, y=mx+b is linear and y=ax^2+bx+c is quadratic.

No. It is a sequence for which the rule is a quadratic expression.

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The slope of your quadratic equation in general form or standard form.

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.

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

A quadratic function will have a degree of two.

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.

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

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

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

That the function is a quadratic expression.

It follows from the definition of a quadratic funtcion.

A linear function is a line where a quadratic function is a curve. In general, y=mx+b is linear and y=ax^2+bx+c is quadratic.

No. It is a sequence for which the rule is a quadratic expression.