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Determine if the f(x)=-3x2 +2: A) Minimum I meeed come beck Give the coordinates of the vertex and graph the quadratic. y = (x-3)2+7 (3,7) -3)+7 う+7

Determine if the f(x)=-3x2 +2: A) Minimum I meeed come beck Give the coordinates of the vertex and graph the quadratic. y = (x-3)2+7 (3,7) -3)+7 う+7

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Give the coordinates of the vertex and graph the quadratic y=(x-3)^2+7
**Quadratic Functions and Vertex Identification** 1. **Problem Statement:** Determine if the vertex is a minimum or maximum for the function: \[ f(x) = -3x^2 + 2x - 1 \] - A) Minimum 2. Notes: The phrase "I need some bacon" is handwritten next to the text. 3. **Exercise:** Give the coordinates of the vertex and graph the quadratic. \[ y = (x-3)^2 + 7 \] - **Solution:** - The vertex \( V \) is identified and boxed as \( (3, 7) \). - The equation is expanded and simplified as follows: \[ V = (x-3)^2 + 7 \] \[ = x^2 - 6x + 9 + 7 \] \[ = x^2 - 6x + 16 \] 4. **Table/Graph Details:** A table and calculations are present: - Table headers for \( x \) and \( y \) values: - \( x \): 1, 2, 3, 4 - \( y \): 8, 7, 7, 11 - Explanation: - For \( x = 1 \), \( y = 8 \) - For \( x = 2 \), \( y = 7 \) - For \( x = 3 \), \( y = 7 \) (vertex coordinate) - For \( x = 4 \), \( y = 11 \) This information provides a comprehensive understanding of how to identify the vertex of a quadratic function and offers guidance on graphing the function based on calculated points.
Transcribed Image Text:**Quadratic Functions and Vertex Identification** 1. **Problem Statement:** Determine if the vertex is a minimum or maximum for the function: \[ f(x) = -3x^2 + 2x - 1 \] - A) Minimum 2. Notes: The phrase "I need some bacon" is handwritten next to the text. 3. **Exercise:** Give the coordinates of the vertex and graph the quadratic. \[ y = (x-3)^2 + 7 \] - **Solution:** - The vertex \( V \) is identified and boxed as \( (3, 7) \). - The equation is expanded and simplified as follows: \[ V = (x-3)^2 + 7 \] \[ = x^2 - 6x + 9 + 7 \] \[ = x^2 - 6x + 16 \] 4. **Table/Graph Details:** A table and calculations are present: - Table headers for \( x \) and \( y \) values: - \( x \): 1, 2, 3, 4 - \( y \): 8, 7, 7, 11 - Explanation: - For \( x = 1 \), \( y = 8 \) - For \( x = 2 \), \( y = 7 \) - For \( x = 3 \), \( y = 7 \) (vertex coordinate) - For \( x = 4 \), \( y = 11 \) This information provides a comprehensive understanding of how to identify the vertex of a quadratic function and offers guidance on graphing the function based on calculated points.
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