which function is a quadratic function?

$h(t) = 12 - 8t + 6t^3$

$h(t) = 12 - t + 6t^2$

$g(t) = 7t^2 + 3t^3 + 2t$

$k(t) = 3t^4 + 3t^2 + 4$

Question

which function is a quadratic function?

$h(t) = 12 - 8t + 6t^3$

$h(t) = 12 - t + 6t^2$

$g(t) = 7t^2 + 3t^3 + 2t$

$k(t) = 3t^4 + 3t^2 + 4$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Quadratic Functions", "Polynomial Degree" ], "new_concepts": [], "current_concepts": [ "Quadratic Functions", "Polynomial Degree" ] } ## Identify the definition of a quadratic function $$ f(x) = ax^2 + bx + c \quad (a eq 0) $$ ## Determine the degree of each given function $$ \begin{aligned} &\text{Degree of } h(t) = 12 - 8t + 6t^3 \text{ is } 3 \ &\text{Degree of } h(t) = 12 - t + 6t^2 \text{ is } 2 \ &\text{Degree of } g(t) = 7t^2 + 3t^3 + 2t \text{ is } 3 \ &\text{Degree of } k(t) = 3t^4 + 3t^2 + 4 \text{ is } 4 \end{aligned} $$ ## Select the function with degree 2 $$ h(t) = 12 - t + 6t^2 $$

(A) $h(t) = 12 - 8t + 6t^3$

(B) $h(t) = 12 - t + 6t^2$

(C) $g(t) = 7t^2 + 3t^3 + 2t$

(D) $k(t) = 3t^4 + 3t^2 + 4$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Quadratic Functions" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the definition of a quadratic function

Determine the degree of each given function

Select the function with degree 2

Answer: