Given is the function f(x) = -x2
a. The graph of f shifted 3 units down. The graph that comes into existence, belongs to the function g. Calculate the points of intersection of the graph of g with the line y = -28
b. The graph of h starts from the graph of f and has been shifted up a few unit. Then the graph is multiplied with the factor 2. The function notation for the new graph is h(x) = -2x2 + 6. Calculate how many units graph of f was shifted up to form the new graph.
c. The graph of j starts from the graph of f shifted up 5 units, then the graph is multiplied with the factor k. The point (-2, -2) lies on the graph of j. Give the function notation of function j. (I have a feeling this question is incomplete or something? I have no idea how to even calculate it, so if you can't find the answer just skip it. Thanks in advance!)
