Let a, b and c be sets.
(a) suppose that a ⊆ b and b ⊆ c. does this mean that a ⊆ c? prove your answer. hint: to prove that a ⊆ c you must prove the implication, “for all x, if x ∈ a then x ∈ c.”
(b) suppose that a ∈ b and b ∈ c. does this mean that a ∈ c? give an example to prove that this does not always happen (and explain why your example works). you should be able to give an example where |a| = |b| = |c| = 2.

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:

mark brainliest.

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