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)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae770780-d35b-4f1e-a6dc-f7e07f373bd8%2Ff105015a-05b6-47f2-bb77-4f3772b1b9c9%2Ftgqywm_processed.jpeg&w=3840&q=75)
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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