Suppose the graph of a polynomial function P(x) has an x-intercept at (c, 0). Write 4-6 sentences analyzing whether (c, 0) is also an x-intercept of the
graphs that result from applying single transformations to P(2). For each
transformation, elaborate on whether (c, 0) is always, sometimes, or never an
x-intercept of the transformed graph, explaining your reasoning. For any
transformations for which (c, 0) is only sometimes an x-intercept of the
transformed graph, design specific functions to illustrate how the other x-
intercepts of the original graph determine whether (c, 0) is an x-intercept of
the transformed graph.