Write a Function Based on the Given Parent Function and the Transformations

question 54

Multiple Choice

Write a function based on the given parent function and the transformations in the given order.
-Parent function: $y = x ^ { 3 }$
1. Shift 6.8 units to the right.
2. Reflect across the y-axis.
3. Shift downward 5.2 units.

• A) \(y = ( - x + 6.8 ) ^ { 3 } + 5.2\)
• B) \(y = - ( x + 6.8 ) ^ { 3 } + 5.2\)
• C) \(y = ( - x - 6.8 ) ^ { 3 } - 5.2\)
• D) \(y = - ( x - 6.8 ) ^ { 3 } - 5.2\)

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Definitions:

M/M/1

A model in queueing theory representing a system with a single server where arrivals and service times are Poisson distributed.

M/D/1

A notation in queueing theory representing a system with a single server, where arrivals are Markovian (M), service times are deterministic (D), and there is one server or channel (1).

Arrival Rate Distribution

Statistical representation describing the frequency and pattern of arrivals at a service system over a specific period.

Service Time Distribution

The statistical distribution of the time taken to serve customers in a queue, affecting waiting times and service efficiency.