dilation - stretching or compressing the graph of a function

move the slider on the graph to graph each function and describe the transformation.

(y = 2sqrt{x})

vertical stretch
vertical compression

Question

dilation - stretching or compressing the graph of a function

move the slider on the graph to graph each function and describe the transformation.

(y = 2sqrt{x})

vertical stretch
vertical compression

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Square Root Function Transformations" ], "new_concepts": [ "Vertical Dilation", "Function Stretching and Compression" ], "current_concepts": [ "Square Root Function Transformations", "Vertical Dilation", "Function Stretching and Compression" ] } ## Identify the transformation type Using the *Square Root Function Transformations* knowledge point $$ \begin{aligned} &y = a\sqrt{x} \quad \text{where } a = 2\ &|a| = 2 > 1 \end{aligned} $$ ## Classify the dilation Using the *Square Root Function Transformations* knowledge point $$ \begin{aligned} &\text{Since } |a| > 1, \text{ the transformation is a vertical stretch.} \end{aligned} $$

vertical stretch

vertical compression

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Square Root Function Transformations" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the transformation type

Classify the dilation

Answer: