Answer:
A quadratic function is a function of a single variable x, with a value y determined by a formula of the form:
y = ax^2 + bx + c, where a, b and c are constants.
On the other hand, an equation is a mathematical statement saying that something is equal to something else. In particular, a quadratic equation is a an equation that says that a quadratic function has a particular value. If that value is a constant, then a quadratic equation can be expressed in the form ax^2 + bx + c = 0. There are normally two values of x that solve this equation. Sometimes there is only one (i.e. the two solutions are equal).