y=a(x-p)(x-q) Quadratic Equations Rebecca C
Quadratic Equation y = a(x-p)(x-q)
a = makes curve wider or skinner. a>1, graph is skinner. a<1, graph is thicker. Also affects concavity, a>0, graph is concave up, a<0, graph concaves down.
p = one of the x intercepts
q = the other x intercepts
Explore the behaviour of a quadratic function in the form y=a(x-p)(x-q)
Learn how a impacts how wide the graph is and its concavity. The variables q and p demonstrate the x intercepts of the graph, thus determining the vertex though (x-int2 - x-int1)/2 giving you the x of vertex. Then plug in x to the function to get y of vertex.