Chapter 2, Problem 1CR

To determine

To describe: Transformation of $f(x)=x^2$ represented by $g$ . Then graph each function.

Answer to Problem 1CR

The graph of the function $g(x)={(x+4)}^2$ is translated $4$ units left of the graph $f(x)=x^2$ .

  

Explanation of Solution

Given information: $f(x)=x^2$ is been transformed to $g(x)={(x+4)}^2$ .

The transformed function $g(x)={(x+4)}^2$ is in the form of $g(x)={(x-h)}^2+k$ ,

Here $h=-4\text{and}k=0$ .

Therefore we can conclude that the graph of function $f(x)=x^2$ is transformed $g(x)={(x+4)}^2$ to by moving $4$ units left.