This kind of equation can give us a lot of information about the parabola by observing the values of and We see that for the given equation and These values will give us information about the parabola. Consider the point at which the curve of the parabola changes direction.
One common mistake when identifying the key features of a parabola algebraically is forgetting to include the negatives in the values of these constants. The standard form is addition only, so any subtraction must be treated as negative values of or Let's look at an example. In this case, the values of and are and They are NOT and