which function is a quadratic function?

$h(t) = 12 - 8t + 6t^3$
$g(t) = 7t^2 + 3t^3 + 2t$
$k(t) = 3t^4 + 3t^2 + 4$
$h(t) = 12 - t + 6t^2$

Question

which function is a quadratic function?

$h(t) = 12 - 8t + 6t^3$
$g(t) = 7t^2 + 3t^3 + 2t$
$k(t) = 3t^4 + 3t^2 + 4$
$h(t) = 12 - t + 6t^2$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Identifying Quadratic Functions" ], "new_concepts": [], "current_concepts": [ "Quadratic Functions", "Identifying Quadratic Functions" ] } ## Analyze the degree of each polynomial function $$ \begin{aligned} &\text{Degree of } h(t) = 12 - 8t + 6t^3 \text{ is } 3 \quad (\text{Cubic})\ &\text{Degree of } g(t) = 7t^2 + 3t^3 + 2t \text{ is } 3 \quad (\text{Cubic})\ &\text{Degree of } k(t) = 3t^4 + 3t^2 + 4 \text{ is } 4 \quad (\text{Quartic})\ &\text{Degree of } h(t) = 12 - t + 6t^2 \text{ is } 2 \quad (\text{Quadratic}) \end{aligned} $$ ## Identify the quadratic function $$ \text{Degree} = 2 \implies h(t) = 12 - t + 6t^2 $$

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

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

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

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

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

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Analyze the degree of each polynomial function

Identify the quadratic function

Answer: