Investigate the effect of changing the base, dilations, and translations for the graph:

a = base

A = dilation from the x axis

b = dilation from the y axis

h = horizontal translation

k = vertical translation

Investigate the effect of changing the base, dilations, and translations for the graph:

a = base

A = dilation from the x axis

b = dilation from the y axis

h = horizontal translation

k = vertical translation

a = base

A = dilation from the x axis

b = dilation from the y axis

h = horizontal translation

k = vertical translation

Categories

Investigate the effect of the four constants on the cubic graph.

Investigate changes to the dilation, horizontal and vertical translation of a cubic graph.

Investigate the effect of the three constants on the parabola.

Investigate changes to the dilation, horizontal and vertical translation of a parabola.

Categories

Investigate the effect of changing the gradient and y intercept.

http://phet.colorado.edu/en/simulation/equation-grapher

Learn about graphing polynomials. The shape of the curve changes as the constants are adjusted. View the curves for the individual terms (e.g. y=bx ) to see how they add to generate the polynomial curve.

http://phet.colorado.edu/en/simulation/graphing-lines

Explore the world of lines. Investigate the relationships between linear equations, slope, and graphs of lines. Challenge yourself in the line game!