AS/A2 Pure 2 Pure 3

P1 Topic 2: Algebra
y=(x-a)(x-b)
Investigate the effect of changing a or b. Graphs like these are called quadratic graphs. Make sure that you are clear about these aspects of a quadratic graph: its basic shape its symmetry the number of places where the curve crosses the x-axis how the values of a and b affect the shape and position of the curve

Summary The curve is U-shaped The curve is symmetric about a vertical axis The values of a and b determine where the curve crosses the x-axis If the values of a and b are the same, then the curve touches the x-axis at this point. The Plane Graphic Calculator java applet