Consider the following transformations on parent function f(x) =
y = A(x) which shifts 3 units left;
y = B(x) which shifts the graph down by 2 units
y = C(x) which reflects a graph over the x-axis
y= D(x) which stretches the function
vertically by a factor of 5
A. For each transformation above, write
as a function of x.
B. For each of the following six
compositions, on graph paper, sketch/label the parent, and then on the same
pair of axes, sketch/label each intermediate function, with its equation, as
well as the final composition.
(i) A then B then C;
(ii) C then B then C ; (iii) D then C then D;
then D then B; (v) D then B then D; (vi) B then C then B