Respuesta :

Given the graph of the parabola:

We will find the relation between the parent function f(x) and g(x)

As shown:

both of the functions have the same vertex, so, there is no transformation

So, Function g(x) is a dilation of function f

AS shown the graph of the function g(x) passes through the point (2,1)

So,

[tex]g(x)=\frac{1}{4}x^2[/tex]

So, the correct options are: dilation, 1/4

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