For the ninth week of Precalc 11, we learned more about the Analyzing Quadratic Functions and inequalities unit.
- Vertex Form
- General Form
- Factored Form
We learned equivalent forms in order to solve equations by using 3 different formulas.
vertex form- , where (p, q) is the vertex of the parabola, and a is the stretch value. It’s the easiest equation to graph because we are given a starting point and the pattern that it goes up by.
general form- , a, b, and c are three real numbers. Once these are given, the values for x and y that make the statement true express a set of (x, y) points which form a parabola when graphed. It’s the most useless equation to graph because we are only given the y-intercept and can’t do much else unless it’s converted to one of the other forms.
factored form– , x1 and x2 are the opposite of the x-intercepts of a graph. This equation is useful only when given the x-intercepts and is used mostly when trying to search for a value as long as there is another point given along the parabola to substitute y and x for to find a.