Question

Given that the point (1,2) lies on y = f(x), find the corresponding point on the image function of y = 3f(2x).

Answer 1

The point corresponding to (1, 2) on the graph of the function 3f(2x) is (3,6 ).

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

Since, we are given a function f(x) such that the point (1,2) lie on the graph of the function f(x).

Now, we are given a new function g(x) as 3f(2x) i.e. g(x) = 3f(2x).

Clearly, this new function g(x) is a dilation of f(x) by a scale factor of '3'.

Hence, every coordinates of the this new function will get multiplied by the scale factor.

i.e. (3×1, 3× 2)=(3, 6)

Hence, the point corresponding to the point (1,2) on the graph of f(x) will convert to the point (3, 6) on the graph of g(x)= 3 f(2x).

Learn more about function here:

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