write the function whose graph is the graph of $y = 4\sqrt{x}$ but is reflected about the y-axis.

the function is $y = $ box.
(type an exact answer, using radicals as needed.)

Question

write the function whose graph is the graph of $y = 4\sqrt{x}$ but is reflected about the y-axis.

the function is $y = $ box.
(type an exact answer, using radicals as needed.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": true, "concepts_used": [ "Function Transformation" ], "new_concepts": [], "current_concepts": [ "Function Transformation", "Radical Function Domain" ] } ## Identify the base function Using the *Function Transformation* knowledge point $$ f(x) = 4\sqrt{x} $$ ## Apply the reflection transformation Using the *Function Transformation* knowledge point $$ g(x) = f(-x) = 4\sqrt{-x} $$ Write the function whose graph is the graph of $y = 4\sqrt{x}$ but is reflected about the y-axis. The function is y = $4\sqrt{-x}$. { "elements": [ { "type": "functiongraph", "params": [ { "js": "4*Math.sqrt(x)", "latex": "4\sqrt{x}" }, 0, 10 ], "properties": { "strokeColor": "#5583F2", "strokeWidth": 2, "name": "y = 4\sqrt{x}", "withLabel": true } }, { "type": "functiongraph", "params": [ { "js": "4*Math.sqrt(-x)", "latex": "4\sqrt{-x}" }, -10, 0 ], "properties": { "strokeColor": "#8C55F2", "strokeWidth": 2, "name": "y = 4\sqrt{-x}", "withLabel": true } } ] } { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Function Transformation" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the base function

Apply the reflection transformation

Answer: