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Identify the equation of the quadratic function with a vertex of (0, -1), that passes through the point (3, 109 2) and 9 opens downward. ƒ (x) = 3x² + ½-1 2 · ƒ (x) = −3x² + ¼/1 4 ƒ(x) = −3x² ƒ (x) = 3x² − ½⁄2 - +|+ 1 4 — 4

Identify the equation of the quadratic function with a vertex of (0, -1), that passes through the point (3, 109 2) and 9 opens downward. ƒ (x) = 3x² + ½-1 2 · ƒ (x) = −3x² + ¼/1 4 ƒ(x) = −3x² ƒ (x) = 3x² − ½⁄2 - +|+ 1 4 — 4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Problem Statement:** Identify the equation of the quadratic function with a vertex of \((0, -\frac{1}{4})\), that passes through the point \((3, -\frac{109}{4})\) and opens downward. **Options:** 1. \( f(x) = 3x^2 + \frac{1}{2} \) 2. \( f(x) = -3x^2 + \frac{1}{4} \) 3. \( f(x) = -3x^2 - \frac{1}{4} \) 4. \( f(x) = 3x^2 - \frac{1}{2} \)
Transcribed Image Text:**Problem Statement:** Identify the equation of the quadratic function with a vertex of \((0, -\frac{1}{4})\), that passes through the point \((3, -\frac{109}{4})\) and opens downward. **Options:** 1. \( f(x) = 3x^2 + \frac{1}{2} \) 2. \( f(x) = -3x^2 + \frac{1}{4} \) 3. \( f(x) = -3x^2 - \frac{1}{4} \) 4. \( f(x) = 3x^2 - \frac{1}{2} \)
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