The "zero" or "root" of such a function - or of any other function - is the answer to the question: "What value must the variable 'x' have, to let the function have a value of zero?" Or any other variable, depending how the function is defined.
it is a vertices's form of a function known as Quadratic
That the function is a quadratic expression.
Yes most of them do equal zero.
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.
The roots of a quadratic function are where the lies interescts with the x-axis. There can be as little as zero.
If its discriminant is less than zero it can't be factored.
The quadratic equation, in its standard form is: ax2 + bx + c = 0 where a, b and c are constants and a is not zero.
Yes and this will happen when the discriminant of a quadratic equation is less than zero meaning it has no real roots.
Once.
Convention says that they are quoted as being equal to zero. It makes life FAR easier that way.
With difficulty because the discriminant of the quadratic equation is less than zero meaning it has no solutions
If the turning point of a quadratic function is on the x-axis, it means the vertex of the parabola touches the x-axis, indicating that the function has exactly one root. This occurs when the discriminant of the quadratic equation is zero, resulting in a double root at the turning point. Therefore, the function has one real root.
Two other names for the solutions of a quadratic function are the "roots" and the "zeros." These terms refer to the values of the variable that make the quadratic equation equal to zero. In graphical terms, they also represent the points where the parabola intersects the x-axis.
A quadratic function is a noun. The plural form would be quadratic functions.
If the discriminant of the quadratic equation is zero then it will have 2 equal roots. If the discriminant of the quadratic equation is greater than zero then it will have 2 different roots. If the discriminant of the quadratic equation is less than zero then it will have no roots.
The factors of a quadratic function are expressed in the form ( f(x) = a(x - r_1)(x - r_2) ), where ( r_1 ) and ( r_2 ) are the roots or zeros of the function. These zeros are the values of ( x ) for which the function equals zero, meaning they correspond to the points where the graph of the quadratic intersects the x-axis. Thus, the factors directly indicate the x-intercepts of the quadratic graph, highlighting the relationship between the algebraic and graphical representations of the function.