A tortoise and hare job around a circular track. First the tortoise begins from the starting line; he jogs at a steady pace, completing one lap every 45 minutes. The hare begins from the starting line 30 minutes after the tortoise, travelling in the same direction; the hare completes one lap every 10 minutes. How often do the tortoise and the hare cross paths

we have the parent function given by,

1. the function is translated 5 units to the left.

so, we get,   becomes

2. the function is translated 5 units to the right.

so, we get,   becomes

3. the function is translated 5 units upwards.

so, we get,   becomes

4. the function is translated 5 units downwards.

so, we get,   becomes

5. the function is reflected across x-axis.

so, we get,   becomes

6. the function is reflected across y-axis.

so, we get,   becomes .

step-by-step explanation:

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