18dfc4…: “Against a strong sea”

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\[ V(h) = \begin{cases} -3(h + 5) & \text { if } [-8, -4) \\ (h+2)(h-2) & \text { if } [-2, 2) \\ -5(h-5)(h-7) & \text { if } [5, 7] \end{cases} \]

Shifted Graph

Define $f(x) = V(x - 3)$

The graph of $z = f(x)$ appears to be the graph of $y = V(h)$, just shifted left right by $\answer {3}$ units.

Shifted Domain

Define $G(t) = V(t + 4)$

The graph of $k = G(t)$ appears to be the graph of $y = V(h)$, just shifted left right by $\answer {4}$ units.

2025-05-18 07:09:17