Question

Consider the function f(x)= x(x-4)

Answer 1

(2-c,y) is the answer for the problem.

Answer 2

Answer:

option (1) is correct.

point (c-2, y) lies on the graph of  $f(x)=x(x-4)$.

Step-by-step explanation:

Given function $f(x)=x(x-4)$ 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 $f(x)=x(x-4)$

$f(x)=x(x-4)$ can be rewritten  $f(x)=x^2-4x$

Now we substitute the given point (2+ c, y) in the function given ,

we have,

$f(x)=y=x(x-4)$

put for x as 2+c , we have,

$\Rightarrow y=(2+c)(2+c-4)$

Solve, we get

$\Rightarrow y=(2+c)(c-2)$

Thus, both point (2+c, y) and (c-2, y) lies on the graph of  $f(x)=x(x-4)$

Thus, option (1) is correct.