Question

Identify a transformation of the function ƒ(x) = x2 by observing the equation of the function g(x) = (x – 6)2.

Answer 1

f(x) moves 6 unit towards right side along X-axis and forms the function g(x).

Given that, the original function is

$f(x)=x^2$

and now the function is

$g(x) =(x-6)^2$

When f(x)=0 then we can get by calculating that,

$x^2=0$

x=0

So, the f(x) function satisfied by point (0,0).

Now when g(x)=0 then by calculating that we get,

$(x-6)^2=0$

x-6 = 0

x = 6

So g(x) function satisfied by (6,0).

In geometrical words we can say that if we transform from f(x) to g(x) then (0,0) tranformed to (6,0).

That suggests that the function moves 6 unit right along X axis, which is towards positive X axis.

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