Answered

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


If the point , (2+ c,y) is on the graph of F(x), the following point will also be on the graph f(x)


(c- 2,y) or (2- c,y)

Verified Answer :

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.

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