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Function ggg can be thought of as a scaled version of f(x)=x^2f(x)=x
2
f, left parenthesis, x, right parenthesis, equals, x, squared.
A parabola labeled f represents the equation y equals x squared. A parabola labeled g passes through the point negative 1, 4, through the origin, and through the point 1, 4.

Write the equation for g(x)g(x)g, left parenthesis, x, right parenthesis.

Function ggg can be thought of as a scaled version of fxx2fxx 2 f left parenthesis x right parenthesis equals x squared A parabola labeled f represents the equa class=

Respuesta :

Using translation concepts, it is found that the equation for function g(x) is given by:

g(x) = 4x².

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent function is given by:

f(x) = x².

This function passes through point (1,1). Function g(x) passes through point (1,4), that is, it is horizontally compressed by a factor of 4, hence g(x)  is given by:

g(x) = 4x².

More can be learned about translation concepts at https://brainly.com/question/4521517

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