We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

Suppose that the graph of a certain function, y=f(x), has the property that if it is shifted 20 units to the right, then the resulting graph is identical to the original graph of y=f(x). What is the smallest positive a such that if the graph of y=f(x/5)$ is shifted a units to the right, then we know that the resulting graph is identical to the original graph of $y=f(x/5)?

Thanks! :DD

WhichWitchIsWhich Nov 13, 2017

#1**+2 **

Suppose that the graph of a certain function, y=f(x), has the property that if it is shifted 20 units to the right, then the resulting graph is identical to the original graph of y=f(x). What is the smallest positive a such that if the graph of y=f(x/5)$ is shifted a units to the right, then we know that the resulting graph is identical to the original graph of $y=f(x/5)?

The answer is 5*20=100

This is when we know for sure that the translation of a (in the right direction) will make the graph identical.

Here is a simple example

Melody Nov 15, 2017