The zeroes of a quadratic equation are the points on the graph where it lies on the x-axis. The vertex is the point where it is the maximum or minimum value of x or y depending on the symmetry. The symmetry is the line where it cuts the graph through the vertex of the graph dividing it into two equal parts that mirror each other. The quadratic formula, factoring, and completing the square are the methods used to solve a quadratic equation. f(x) + 7 shifts the graph 7 units up, f(x +7) shifts the graph 7 units to the left
