The graph and a table of u = f(t) are given. Construct the graph for each of the

Question

The graph and a table of u = f(t) are given. Construct the graph for each of the transformations below. (A table may help.) Point P = (2, -1) is on the graph of f, that is, f(2) = -1. For each function below, find the corresponding point Q = (a, b): "solve" an equation to find a (where 2 moved to), then "evaluate" to find b (where -1 has moved to). Decide whether each statement below is true or false, with how _____ To graph F(x) we first reflect and compress vertically by a factor of 0.5, then shift 3 up. _____ To graph H(x) we can first stretch horizontally by a factor of 2, then shift 3 to the left. _____ To graph H(x) we can first shift 1.5 to the left then stretch horizontally by a factor of 2. _____ The domain of F(x) does not change, the domain of H(x) can be computed by solving the inequality: -1 lessthanorequalto 0.5(x + 3) lessthanorequalto 3. The graphs of G(x) and H(x) are the same.

Explanation / Answer

Since part a) and part b) are already solved, I am moving to part c)

c)

1. True

2. True

3. False

4. True

5. True

H(x) = f(0.5(x+3))

= f(0.5x + 1.5)

= G(x)

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