i just need help graphing no. 5 and 6! thank you ## Quadratic Functions and Graphing Exercises### 1. Identify the correct function for the given parabola diagram:Choose the appropriate equation for the parabolic graph displayed. - a. $ y = (x - 1)^2 - 9 $- b. $ y = (x - 1)^2 + 9 $- c. $ y = (x + 1)^2 + 9 $- d. $ y = (x + 1)^2 - 9 $**Note:** The graph features a position marker labeled $(1, -9)$, indicating the vertex of the parabola. ### 2. Graphing Functions:**Exercise 5:** Graph the following function: \[ f(x) = \sqrt{x} - 2 \]**Exercise 6:** Graph the following function: \[ f(x) = 3 |x - 1| \]### Detailed Explanation of Graphs:**Exercise 5:**- The function $ f(x) = \sqrt{x} - 2 $ represents a square root function shifted 2 units down from the parent function $ f(x) = \sqrt{x} $.**Exercise 6:**- The function $ f(x) = 3 |x - 1| $ is an absolute value function with a vertex shifted 1 unit to the right. The coefficient 3 indicates that the graph will be stretched vertically by a factor of 3.These exercises require plotting the functions on a graph to visualize their behavior and characteristics accurately.

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Answered: 5. Graph the following function: f(x) =…

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5. Graph the following function: f(x) = Vx - 2 6. Graph the following function:f(x) = 3|x-1||

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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i just need help graphing no. 5 and 6! thank you

## Quadratic Functions and Graphing Exercises

### 1. Identify the correct function for the given parabola diagram:
Choose the appropriate equation for the parabolic graph displayed.
- a. $ y = (x - 1)^2 - 9 $
- b. $ y = (x - 1)^2 + 9 $
- c. $ y = (x + 1)^2 + 9 $
- d. $ y = (x + 1)^2 - 9 $

**Note:** The graph features a position marker labeled $(1, -9)$, indicating the vertex of the parabola.

### 2. Graphing Functions:

**Exercise 5:** Graph the following function:
\[ f(x) = \sqrt{x} - 2 \]

**Exercise 6:** Graph the following function:
\[ f(x) = 3 |x - 1| \]

### Detailed Explanation of Graphs:

**Exercise 5:**
- The function $ f(x) = \sqrt{x} - 2 $ represents a square root function shifted 2 units down from the parent function $ f(x) = \sqrt{x} $.

**Exercise 6:**
- The function $ f(x) = 3 |x - 1| $ is an absolute value function with a vertex shifted 1 unit to the right. The coefficient 3 indicates that the graph will be stretched vertically by a factor of 3.

These exercises require plotting the functions on a graph to visualize their behavior and characteristics accurately.

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