Use the sliders to investigate the four transformations (Vertical Shift, Horizontal Shift, Vertical Stretch/Compression, Horizontal Stretch/Compression) of the graph of the function below. Write complete sentences describing the effect of changing each value (a,b,h,k)

1) Describe the function where a = 1, b = 1, h = 0, k = 0 2) Describe the transformation of the graph of the function for a > 1 3) Describe the transformation of the graph of the function for b > 1 4) Describe the transformation of the graph of the function for h < 0 5) Describe the transformation of the graph of the function for k > 0 6) Write the function that shifts the semi-circular function of radius 5 to the new center (1, -1) 7) Write the function that elongates(horizontal stretch) the semi-circle to a horizontal radius of 6 but leaves the vertical radius at 5 with center at the origin 8) Write the function of the semi-circle of radius 6 centered at the origin 9) Describe the transformation of the graph when a = -1 10) Write the function of the lower half semi-circle of radius 6 centered at (2, 2)