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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.
What else can I help you with?
What determines whether the graph of the quadratic function will open upward or downward?
The slope of your quadratic equation in general form or standard form.
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 makes a function have a graph that is quadratic?
That the function is a quadratic expression.
What is the difference between a linear and quadratic function?
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.
Is quadratic sequence exponential function?
No. It is a sequence for which the rule is a quadratic expression.
What determines whether the graph of the quadratic function will open upward or downward?
The slope of your quadratic equation in general form or standard form.
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.
How can a quadratic function have both a maximum and a minimum point?
A quadratic function can only have either a maximum or a minimum point, not both. The shape of the graph, which is a parabola, determines this: if the parabola opens upwards (the coefficient of the (x^2) term is positive), it has a minimum point; if it opens downwards (the coefficient is negative), it has a maximum point. Therefore, a quadratic function cannot exhibit both extreme values simultaneously.
What is the degree of a quadratic function?
A quadratic function will have a degree of two.
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.
Is a square root function the inverse function of a quadratic function?
Yes, the square root function is considered the inverse of a quadratic function, but only when the quadratic function is restricted to a specific domain. For example, the function ( f(x) = x^2 ) is a quadratic function, and its inverse, ( f^{-1}(x) = \sqrt{x} ), applies when ( x ) is non-negative (i.e., restricting the domain of the quadratic to ( x \geq 0 )). Without this restriction, the inverse would not be a function since a single output from the quadratic can correspond to two inputs.
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.
