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A day full of math games & activities. Find one near you.
What transformations change the graph of f(x) to the graph of g(x). f(x) = x2, g(x) = (x + 3)2 - 7
Solution:
Given, functions are f(x) = x2
g(x) = (x + 3)2 - 7
We have to find the transformations that change the graph of f(x) to the graph of g(x).
The transformation of x to x + 3 is the translation across the x-axis.
The translation is 3 units to the left.
The transformation of x2 to (x + 3)2 - 7 is the translation across the y-axis.
The translation is seven units down.
Therefore, the transformations are translations of 3 units to the left and seven units down.
What transformations change the graph of f(x) to the graph of g(x). f(x) = x2, g(x) = (x + 3)2 - 7
Summary:
The transformations that change the graph of f(x) = x2 to the graph of g(x) = (x + 3)2 - 7 is the translation of 3 units to the left across the x-axis and seven units down across the y-axis.