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.
An equation just has an equal sign. A function is basically just an equation without one!
It is a quadratic equation that normally has two solutions
Yes it is.
If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value
dunctions are not set equal to a value
An equation just has an equal sign. A function is basically just an equation without one!
That depends on the 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.
It is a quadratic equation that normally has two solutions
If a quadratic function has the points (-4,0) and (14,0), what is equation of the axis of symmetry?
x2
Yes it is.
The derivative of a quadratic function is always linear (e.g. the rate of change of a quadratic increases or decreases linearly).
If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value
dunctions are not set equal to a value
Whether or not that there is a solution to a quadratic equation,
The quadratic equation is used to find the intercepts of a function (F(x)=x^(2*n), n being an even number) along its primary axis (typically the x axis). Many equations follow this form. The information given by the quadratic equation depends on what your function is pertaining to. If say you have a velocity vs time graph, when the function crosses the xaxis your particle has changed from a positive velocity to a negative velocity. This information can be useful to determine the accompanying behavior of your position. The quadratic equation is simply a tool to find intercepts of a function.