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

AI Thread Summary
To graph the function y=(x-3)^2, one must start with the graph of y=x^2 and apply a transformation. The transformation involves shifting the graph of y=x^2 horizontally to the right by 3 units. The reference to y=x^n indicates that n should be chosen as 2 to align with the quadratic function. This process clarifies how to transition from the general form y=x^n to the specific function y=(x-3)^2. Understanding this transformation is key to accurately sketching the graph.
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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