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Write the equation g(x) in vertex form of a 4- quadratic function for the transformations given the function f(x) = x². SEE EXAMPLE 5 30. Let g(x) be the function whose graph is a translation 4 units left and 1 unit up of the graph of f(x). 31. Let g(x) be the function whose graph is a reflection in the x-axis and translated 3 ur right of the graph of f(x).

Write the equation g(x) in vertex form of a 4- quadratic function for the transformations given the function f(x) = x². SEE EXAMPLE 5 30. Let g(x) be the function whose graph is a translation 4 units left and 1 unit up of the graph of f(x). 31. Let g(x) be the function whose graph is a reflection in the x-axis and translated 3 ur right of the graph of f(x).

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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Do number 31 only please

**Quadratic Function Transformations** To write the equation \( g(x) \) in vertex form, consider the transformations of the quadratic function \( f(x) = x^2 \). Refer to Example 5 for further guidance. **Problem 30:** Let \( g(x) \) be the function whose graph is a translation 4 units to the left and 1 unit up from the graph of \( f(x) \). **Problem 31:** Let \( g(x) \) be the function whose graph is a reflection across the x-axis and translated 3 units to the right of the graph of \( f(x) \). **Diagram Explanation:** The page appears to contain a grid with a basic parabola drawn, which represents typical transformations of the parabolic function \( f(x) = x^2 \). However, the specific details of the graph are not clearly visible in the provided image.
Transcribed Image Text:**Quadratic Function Transformations** To write the equation \( g(x) \) in vertex form, consider the transformations of the quadratic function \( f(x) = x^2 \). Refer to Example 5 for further guidance. **Problem 30:** Let \( g(x) \) be the function whose graph is a translation 4 units to the left and 1 unit up from the graph of \( f(x) \). **Problem 31:** Let \( g(x) \) be the function whose graph is a reflection across the x-axis and translated 3 units to the right of the graph of \( f(x) \). **Diagram Explanation:** The page appears to contain a grid with a basic parabola drawn, which represents typical transformations of the parabolic function \( f(x) = x^2 \). However, the specific details of the graph are not clearly visible in the provided image.
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