Reference no: EM131070101

a. Starting with the expression for the standard parabola y = x2 deduce the sequence of transformations needed to create the graph of the function y = -3(x - 3)2 - 5 Note: For instance, if we were given the function y = -3|x - 4| + 1 we would start with the absolute value function y = |x| and the sequence of transformations would be: - Shift right 4 units, yielding y = |x - 4| - Stretch by a factor of 3, yielding y = 3|x - 4| - Reflect about the x-axis, yielding y = -3|x - 4| - Shift upward 1 unit, yielding y = -3|x - 4| + 1

b. Graph each transformation in the sequence on the same set of axes.