---### Graph Translation Problem**Question:**What effect will changing the equation \( x^2 + y^2 = 36 \) to \( x^2 + (y + 3)^2 = 36 \) have on its graph?**Options:**A) slides 3 units left B) slides 3 units down C) slides 3 units up D) slides 3 units right **Answer Choices Selection:**- O A- O B- O C- O D---**Explanation:**This problem is about understanding the geometric translation of graphs. Here, the translation involves shifting the center of the circle. - The original equation \( x^2 + y^2 = 36 \) represents a circle centered at (0, 0) with a radius of 6.- The modified equation \( x^2 + (y + 3)^2 = 36 \) represents a circle with the same radius but its center moved.In general, \( x^2 + (y - k)^2 = r^2 \) translates the circle vertically by \( k \) units. In this case, \( k \) is -3, hence translating the circle 3 units down. The correct answer is B) slides 3 units down.This type of transformation is crucial to understand in Algebra and Geometry for dealing with the graphs of equations.

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Answered: What effect will changing the equation…

What effect will changing the equation x2 + y2 = 36 to x2 + (y+ 3)2 = 36 have on its graph? A) slides 3 units left B) slides 3 units down C) slides 3 units up D) slides 3 units right Oc

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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