y=f(x) are 2 and 3. What are the x-intercepts of y=f(x-6)

Question

suppose that the x-intercepts of the graph of y=f(x) are 2 and 3. What are the x-intercepts of y=f(x-6)

Answer 1

Let y=f(x) be the same as f(x)=(x-2)(x-3)g(x), where g is another function of x. The given zeroes (i.e., the x intercepts) satisfy f(x)=0. If we replace x with x-6 we get f(x-6)=(x-8)(x-9)g(x-6), so the zeroes are 8 and 9, the x intercepts.

Answer 2

8 and 9. You just add 6 to each one because the translation is saying right 6

Answer 3

For function y=f(x-a) where a>0 is obtained by the shifting the function y=f(x) by a unit to the right 

Therefore for given function y=f(x-6)

X intercepts will be by shifting 6 unit to the right 

So first intercept is 2+6=8

And second intercept is 3+6=9