How to graph a function by transforming a graph of a function form?

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Homework Help Overview

The discussion revolves around graphing the function y=(x-3)^2 by transforming the graph of a function of the form y=x^n, specifically focusing on the implications of the transformation process.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants express confusion regarding the relationship between y=(x-3)^2 and y=x^n, with some attempting to clarify that the transformation involves shifting the graph of y=x^2. Others question how to interpret the general form y=x^n in this context.

Discussion Status

Some participants have provided guidance on starting with the graph of y=x^2 and shifting it to obtain y=(x-3)^2. However, there remains uncertainty about the choice of n and how it relates to the transformation.

Contextual Notes

Participants are grappling with the requirement to interpret the function form y=x^n and how it connects to the specific case of y=(x-3)^2, indicating potential gaps in understanding the assignment's expectations.

frozenbananas
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Homework Statement


Sketch the graph of the function y=(x-3)^2 by transforming the graph of an appropriate function of the form y=x^n

Homework Equations



y=(x-3)^2, y=x^n

The Attempt at a Solution


Precisely speaking, I am just totally confused with what the question is asking. i mean i know how to graph y=(x-3)^2 bit idk what the y=x^n is about. thanks so much!
 
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frozenbananas said:
im just totally confused with what the question is asking. i mean i know how to graph y=(x-3)^2 bit idk what the y=x^n is about. thanks so much!
They asked you how to transform graph of y=x^2 function to graph of y=(x-3)^2 function.

regards
 
Last edited:
They want you to start up with graph of y=x^2 and get y=(x-3)^2, which is just shifted in x axis.
 
n.karthick said:
They want you to start up with graph of y=x^2 and get y=(x-3)^2, which is just shifted in x axis.

but it says y=x^n so how did u get x^2? not to sound whiny, just confused?
 
You have to choose the value of n. In order to get the given function from y=x^n, the value of n has to be taken as 2.
 
k thanks ;)
 

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