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0. Which choice describes the translation of y=x2² to y= (x+4)²? O O O O 4 units down 4 units right 4 units up 4 units left

0. Which choice describes the translation of y=x2² to y= (x+4)²? O O O O 4 units down 4 units right 4 units up 4 units left

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 10:** Which choice describes the translation of \( y = x^2 \) to \( y = (x + 4)^2 \)? **Options:** - ○ 4 units down - ○ 4 units right - ○ 4 units up - ○ 4 units left --- In this question, students are asked to determine the type of translation that has been applied to the function. The original function is \( y = x^2 \), and it is translated to \( y = (x + 4)^2 \). ### Explanation of the Translation: The equation \( y = (x + 4)^2 \) represents a horizontal translation of the function \( y = x^2 \). The \( +4 \) inside the parentheses indicates a shift to the left by 4 units. When a number is added directly to the input variable \( x \) inside the function, it results in a horizontal shift in the opposite direction of the sign. Thus, in this case: - **4 units left** is the correct description of this translation. This concept is important in understanding how changes within the function can move the graph on the coordinate plane without altering its shape.
Transcribed Image Text:**Question 10:** Which choice describes the translation of \( y = x^2 \) to \( y = (x + 4)^2 \)? **Options:** - ○ 4 units down - ○ 4 units right - ○ 4 units up - ○ 4 units left --- In this question, students are asked to determine the type of translation that has been applied to the function. The original function is \( y = x^2 \), and it is translated to \( y = (x + 4)^2 \). ### Explanation of the Translation: The equation \( y = (x + 4)^2 \) represents a horizontal translation of the function \( y = x^2 \). The \( +4 \) inside the parentheses indicates a shift to the left by 4 units. When a number is added directly to the input variable \( x \) inside the function, it results in a horizontal shift in the opposite direction of the sign. Thus, in this case: - **4 units left** is the correct description of this translation. This concept is important in understanding how changes within the function can move the graph on the coordinate plane without altering its shape.
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