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

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

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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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.
Transcribed Image Text:## 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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