For each of the graphs below quickly sketch the graph of the corresponding function from the specified basic points.
For appropriate parameters A, h, k, c construct the graph of y = A f( k*(x-h) ) + c.
Suggested parameter sets:
A = 2, h = -1, k = 1, c = -2
A = .5, h = 0, k = 2, c = 0
A = -2, h = 1, k = 1, c = 2
A = -.5, h = 1, k = -1, c = 0
Then for each graph:
Determine the equation of the basic function.
Determine the equation of your transformed graphs A f( k*(x-h) ) + c.
Graph 1:
Graph 2:
Graph 3:
Graph 4:
Graph 5:
Graph 6:
Graph 7:
Graph 8:
Graph 9:
Graph 10:
Graph 11:
Graph 12:
Graph 13:
Graph 14:
Graph 15:
Graph 16:
Graph 17:
Graph 18:
Graph 19:
Graph 21: