Which equation represents a quadratic function with a leading coefficient of 2 and a constant term of –3? f(x) = 2x3 – 3 f(x) = –3x2 – 3x + 2 f(x) = –3x3 + 2 f(x) = 2x2 + 3x – 3
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Quadratic function: A quadratic function has a single variable x (say) with leading coefficient being non-zero, associated with the term x².
Solution:
- Option A. f(x) = 2x³ - 3
- This is not a quadratic function because it contains the term x³.
- Option B. f(x) = - 3x² - 3x + 2
- It is a quadratic function for sure, but its leading coefficient is (- 3), not 2.
- Option C. f(x) = - 3x³ + 2
- This is not a quadratic function because it contains the term x³.
- Option D. f(x) = 2x² + 3x - 3
- It is a quadratic function for sure, with leading coefficient 2 and constant term (- 3).
Option D is correct.
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Answer: D Step-by-step explanation: i did it
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