Compare the Graph of the Following Function with the Graph $f ( x ) = \sqrt { x }$

question 3

Multiple Choice

Compare the graph of the following function with the graph of $f ( x ) = \sqrt { x }$ .
$$y = \sqrt { - x + 4 }$$

• A) First a vertical shift of 4 units up then a reflection in the \(y\)-axis.
• B) First a horizontal shift of 4 units to the left then a reflection in the \(y\)-axis.
• C) First a vertical shift of 4 units up then a reflection in the \(x\)-axis.
• D) First a horizontal shift of 4 units to the left, then a vertical shift of 4 units up and then a reflection in the \(y\)-axis.
• E) First a horizontal shift of 4 units to the left then a reflection in the \(x\)-axis.

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Definitions:

Slow-Wave Sleep

Slow-Wave Sleep refers to the deep sleep stage characterized by low frequency, high amplitude delta waves, important for memory consolidation and recovery.

REM Sleep

A phase of sleep characterized by rapid eye movement, during which vivid dreams commonly occur.

Hypnagogic Sensations

Experiences at the onset of sleep, including visual, auditory, or tactile hallucinations that occur in the transition from wakefulness to sleep.

Narcolepsy

An ongoing sleep problem marked by significant day time drowsiness and abrupt sleep onslaughts.