Common Core Cumulative Standards Review
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What type of transformation should we apply to move down the graph of a function?
C
Consider the case where the graph of this function is shifted 3 units down. The transformation that will move the graph of a function f(x) up or down is a vertical translation of the function.
| Vertical Translations of f(x) | |
|---|---|
| Translation up k units, k>0 | y=f(x) + k |
| Translation down k units, k>0 | y=f(x) - k |
Using the table, notice that we should subtract 3 from the given equation to translate it 3 units down. y=x^2-6 - 3 ⇔ y=x^2-9 As a result, the equation of the shifted graph corresponds to option C.