When the graph of a certain function f(x) is shifted 2 units to the right and stretched vertically by a factor of 2 relative to the x-axis (meaning that all y-coordinates are doubled), the resulting graph is identical to the original graph.

Given that f(0)=1 , what is f(10)?

Guest Sep 28, 2019

#1**+2 **

Hint: Try to write an equation for the context, and use the given f(0)=1 to find the f(10) or find the f(1) to find the f(10).

Also,,, if they say that the function has shifted 2 units to the right,,, then that would do something to the x axis wouldn't it...

From what i have understood they are just asking you to translate a line (if its not exponential) 2 units the right and double the y axis... and they give the y intercept as (0,1). Use the information they have given you, and write an equation for it and solve for f(10).

Now, im going to leave the rest to you. :)

Correct me if i am wrong please.

hope this helps in some way.

Nirvana Sep 28, 2019

#3**+1 **

(0,1) is a point on the original graph.

If you move this right two then the x value becomes 0+2=2 and if stretch by a factor of 2 then the y value beomes 1*2=2

So a point on the translated graph is (2,2)

BUT

(2,2) must also be on the original fucntions.

So what is the equation of the line that goes through (0,1) and (2,2) ?

Then you can find f(10)

Melody Oct 4, 2019