092005

Mth 163

When sketching the graph of the power function family y=A(x-h)^p+c for p=-2 A=1 h=0 c=-3 to 3 when you sovle the equation useing whole numbers between -3 and 3 is your graph just move one whole number or should you use certain fractions between -3 and 3?

For a basic power function you are guided by the behavior at

x = -1, x = 0, x = 1/2, x = 1 and x = 2.

If h = 0 then there is no shift in the x direction and you simply use these points.

If for example h = 2 then the graph shifts 2 units to the right and you would use

x = -1 + 2 = 1, x = 0 + 2 = 2, x = 1/2 + 2 = 5/2 x = 1 + 2 = 3 and x = 2 + 2 = 4.