question 20 points 2

which cube root equation represents the values of $a = 2$ and $(h, k) = (3, -1)$?

$y = 2\sqrt3{x - 3} + 1$

$y = 2\sqrt3{x - 3} - 1$

Question

question 20 points 2

which cube root equation represents the values of $a = 2$ and $(h, k) = (3, -1)$?

$y = 2\sqrt3{x - 3} + 1$

$y = 2\sqrt3{x - 3} - 1$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Cube Root Function", "Vertex of Cube Root Function" ], "new_concepts": [], "current_concepts": [ "Cube Root Function", "Vertex of Cube Root Function" ] } ## State the general form of a cube root function $$ y = a\sqrt[3]{x - h} + k $$ ## Substitute the given parameters into the general form $$ \begin{aligned} a &= 2 \ h &= 3 \ k &= -1 \end{aligned} $$ $$ y = 2\sqrt[3]{x - 3} - 1 $$ ## Match the resulting equation with the given options $$ y = 2\sqrt[3]{x - 3} - 1 $$

(A) $y = 2\sqrt[3]{x - 3} + 1$

(B) $y = 2\sqrt[3]{x - 3} - 1$

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

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Question

Explanation:

State the general form of a cube root function

Substitute the given parameters into the general form

Match the resulting equation with the given options

Answer: