# What transformations change the graph of f(x) to the graph of g(x). f(x) = x^{2}, g(x) = (x + 3)^{2 }- 7

**Solution:**

Given, functions are f(x) = x^{2}

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 x^{2} 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) = x^{2}, g(x) = (x + 3)^{2 }- 7

**Summary:**

The transformations that change the graph of f(x) = x^{2} 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.

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