The function of g is dilation of function of f and the equation for g(x) = (1/4) x²
What is Dilation ?
Dilation is used to resize the object , smaller or bigger.
The resultant image will be similar to that of the original image just bigger or smaller.
When the plot of the function(x) = x² is observed , it can be seen that it is a vertical parabola , opening upwards , the vertex is at the origin.
At x = 1 , function(x) = 1
Now when the plot in the given image is observed it can be seen that
At x = 2 , g (x) = 1 , other than this everything is same.
It can be concluded from this that the function of g is dilation of function of f .
And we can also determine the degree of dilation from the above conclusion
At x = 1 , function(x) = 1
At x = 2 , g (x) = 1
Therefore the equation for g(x) = (1/4) x²
To know more about Dilation
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