Identify the Transformation Shown in the Graph and Identify the Associated

question 96

Multiple Choice

Identify the transformation shown in the graph and identify the associated common function. Write the equation of the graphed function.

• A)Common function: \(y = x ^ { 3 }\) Transformation: horizontal shift 2 units to the rightEquation: \(y = ( x - 2 ) ^ { 3 }\)
• B)Common function: \(y = x\) Transformation: multiplied by \(\frac { 1 } { 2 }\) shrinkingEquation: \(y = \frac { 1 } { 2 } x\)
• C)Common function: \(y = x ^ { 2 }\) Transformation: reflection about the x-axisEquation: \(y = - x ^ { 2 }\)
• D)Common function: \(y = c\) Transformation: \(c\) is 7.Equation: \(y = 7\)
• E)Common function: \(y = \sqrt { x }\) Transformation: reflection about the x-axis and a vertical shift 1 unit upwardEquation: \(y = - \sqrt { x } + 1\)

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Definitions:

Peristaltic Waves

Sequential muscle contractions that occur in the gastrointestinal tract to move contents through the digestive system.

Older Adult

An individual in the later stage of life, often categorized as someone who is 65 years or older.

Abdominal Musculature

The muscles located in the abdomen, including the rectus abdominis, obliques, and transversus abdominis, crucial for posture and movement.

Abdominal Tone

The condition of the abdominal muscles regarding their tightness or firmness, often assessed during physical examination.