The equation 5x^2-3x+3 = 0 is a quadratic equation because the highest power ^2, causes it to be quadratic. Even if the equation looked like: y = 5x^2 - 3x, its still quadratic because it has the "A^2" or 5x^2, in the equation.
Axis of Symmetry
The axis of symmetry on a parabola shows that both sides of the axis is symmetrical. To find the axis of symmetry or the x value, you use the formula -b/2a. Remember that the value with the ^2 is a and the middle value with x is b.
Terms are either added or subtracted from each other to find a factored, simplified or finalized product. There can be more than one term in an expression/equation. Examples of terms are: x^2 + 2x + 3. There are 3 terms here because x^2 is one term, 2x is the second term and 3 is the last term!
An example of first difference would be:
X values: 0, 1, 2, 3, 4
Y values: 5, 7, 9, 11, 13
*Remember to subtract the sec. from the first!! When you subtract 0 from 1, you get 1. When you subtract 1 from 2, you get 1. When you subtract 2 from 3, you get 1. So on and so forth... Now do the same thing for the Y values. See a common difference? It's 2!
An example of second difference would be:
X values: 0, 1, 2, 4, 5...
Y values: 1, 2, 4, 7, 11, 16, 22...
Y val. first difference: 1, 2, 3, 4, 5, 6
Y va. second difference: 1, 1, 1, 1, 1, 1
*Remember to subtract the sec. from the first!! Notice how the first differences weren't the same. When you subtract those numbers, you get a constant difference.