Cumulative Asssessment
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Start by making a table of values.
The graph shown is the graph of f(x) that is vertically shrink by a factor of 2 and vertically shifted 3 units upward.
| x | 2^x | y=2^x |
|---|---|---|
| - 2 | 2^(- 2) | 0.25 |
| - 1 | 2^(- 1) | 0.5 |
| 0 | 2^0 | 1 |
| 1 | 2^1 | 2 |
| 2 | 2^2 | 4 |
The ordered pairs ( - 2, 0.25), ( - 1, 0.5), ( 0, 1), ( 1, 2), and ( 2, 4) all lie on the function. Now, we will plot and connect these points with a smooth curve.
We are asked to compare the shown graph to the graph of f(x). Let's draw them together!
Notice that the graph of f(x) should be vertically shrink by a factor of 2 and vertically shifted 3 units upward to get the given graph.