Minimum point of this? Or even better, what's the We see that we have a positiveĬoefficient on the x squared term. Would we put this in? And then another form If we wanted to figure out whereĭoes this function intersect the x-axis, what form Write this function in if we, say, wanted to find theĠs of this function. Us to think about is what other forms we can It would still be classified as a quadratic equationĪs x squared minus 5x plus 6. It describes a parabola that is lying on its side on a coordinate grid, but most values of x for this parabola that have any value at all will have two different values of y, so it cannot be a function. The next quadratic equation looks similar, but is not a quadratic function: it is not a function at all, in fact. Y = x² - 8x + 15 is a quadratic function that describes every point on a parabolaį(x) = x² - 4x + 3 is also a quadratic function that describes every point on another parabola There are limits on what we can call a function, though, because there has to be one unique value for the dependent variable for any value of the independent variable in order to be a function. If we are defining how two variables are related, we can be talking about a function. If there is an equals sign, we call it a quadratic equation. If there is no equals sign, but it has a quadratic term, then it is a quadratic expression. To be quadratic, the highest power of any term must be 2 (the x is squared). The word quadratic refers to the degree of a polynomial such as x² - 4x + 3
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