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Good morning, I’m working on Quadratic functions. We are filling out a chart. I’m asking about number 4. My instructor looked at my work and said it was wrong. What am I doing wrong? Given: vertex (5,1) Y-intercept (0,-49) Find: Standard Form Vertex form X-intercept Axis of Symmetry Max or min value Opens up or down Domain/range Graph Thank you, Ryan

Good morning, I’m working on Quadratic functions. We are filling out a chart. I’m asking about number 4. My instructor looked at my work and said it was wrong. What am I doing wrong? Given: vertex (5,1) Y-intercept (0,-49) Find: Standard Form Vertex form X-intercept Axis of Symmetry Max or min value Opens up or down Domain/range Graph Thank you, Ryan

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Good morning, I’m working on Quadratic functions. We are filling out a chart. I’m asking about number 4. My instructor looked at my work and said it was wrong. What am I doing wrong? Given: vertex (5,1) Y-intercept (0,-49) Find: Standard Form Vertex form X-intercept Axis of Symmetry Max or min value Opens up or down Domain/range Graph Thank you, Ryan
# 2.1 Lab – Quadratic Functions ## I. Fill in the missing information in the table below. Check answers in Desmos. | Standard Form | Vertex Form | Vertex | X-intercept | Y-intercept | Axis of Symmetry | Maximum or Minimum Value | Opens Up/Down | Domain/Range | Sketch the Graph | |----------------------|---------------------|--------------|---------------|-------------|------------------|--------------------------|---------------|------------------------------------------|---------------------------------| | 1. \( y = 3x^2 - 12x + 16 \) | \( y = 3(x - 2)^2 + 4 \) | (2, 4) | No X-intercept | (0, 16) | 2 | Min | Up | \((-∞, ∞)\), \([4, ∞)\) | ![Parabola Opening Upward](https://www.example.com/upward.jpg) | | 2. \( y = -3x^2 - 4x + 2 \) | \( -3(x + \frac{2}{3})^2 + \frac{10}{3} \) | \((- \frac{2}{3}, \frac{10}{3})\) | \(\approx (-1.70, 0), (0.39, 0)\) | 2 |\(- \frac{2}{3} \)| Max | Down | \((-∞, ∞)\), \((-∞, \frac{10}{3}]\) | ![Parabola Opening Downward](https://www.example.com/downward.jpg) | | 3. \( y = 0.4x^2 - 3x + 2 \) | \( 0.4(x - 3.75)^2 - 3.6 \) | (3.75, -3.6) | \(\approx (6.76, 0), (0.74, 0)\) | 2 | 3.75 | Min | Up | \((-∞, ∞)\), \([-3.6, ∞)\) | ![Parabola Opening Upward](https://www.example.com/upward2.jpg) | |
Transcribed Image Text:# 2.1 Lab – Quadratic Functions ## I. Fill in the missing information in the table below. Check answers in Desmos. | Standard Form | Vertex Form | Vertex | X-intercept | Y-intercept | Axis of Symmetry | Maximum or Minimum Value | Opens Up/Down | Domain/Range | Sketch the Graph | |----------------------|---------------------|--------------|---------------|-------------|------------------|--------------------------|---------------|------------------------------------------|---------------------------------| | 1. \( y = 3x^2 - 12x + 16 \) | \( y = 3(x - 2)^2 + 4 \) | (2, 4) | No X-intercept | (0, 16) | 2 | Min | Up | \((-∞, ∞)\), \([4, ∞)\) | ![Parabola Opening Upward](https://www.example.com/upward.jpg) | | 2. \( y = -3x^2 - 4x + 2 \) | \( -3(x + \frac{2}{3})^2 + \frac{10}{3} \) | \((- \frac{2}{3}, \frac{10}{3})\) | \(\approx (-1.70, 0), (0.39, 0)\) | 2 |\(- \frac{2}{3} \)| Max | Down | \((-∞, ∞)\), \((-∞, \frac{10}{3}]\) | ![Parabola Opening Downward](https://www.example.com/downward.jpg) | | 3. \( y = 0.4x^2 - 3x + 2 \) | \( 0.4(x - 3.75)^2 - 3.6 \) | (3.75, -3.6) | \(\approx (6.76, 0), (0.74, 0)\) | 2 | 3.75 | Min | Up | \((-∞, ∞)\), \([-3.6, ∞)\) | ![Parabola Opening Upward](https://www.example.com/upward2.jpg) | |
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