Step-by-step explanation:
point (c-2, y) lies on the graph of f(x)=x(x-4)f(x)=x(x−4) .
Step-by-step explanation:
Given function f(x)=x(x-4)f(x)=x(x−4) also point (2+ c,y) is on the graph of f(x) ,
We have to find out of given point which point will also be on the graph of f(x).
Consider the given function f(x)=x(x-4)f(x)=x(x−4)
f(x)=x(x-4)f(x)=x(x−4) can be rewritten f(x)=x^2-4xf(x)=x
2
−4x
Now we substitute the given point (2+ c, y) in the function given ,
we have,
f(x)=y=x(x-4)f(x)=y=x(x−4)
put for x as 2+c , we have,
\Rightarrow y=(2+c)(2+c-4)⇒y=(2+c)(2+c−4)
Solve, we get
\Rightarrow y=(2+c)(c-2)⇒y=(2+c)(c−2)
Thus, both point (2+c, y) and (c-2, y) lies on the graph of f(x)=x(x-4)f(x)=x(x−4)
Thus, option (1) is correct.
