Question

select the function f(x)=√x. use the c - slider to change the value of c to various values. when c > 0 which of the following is true about the transformation y = f(x + c)? use the interactive figure to find your answer. use the left and right arrow keys to move along a slider as needed. click here to launch the interactive figure. choose the correct answer below. a. the transformation is a horizontal shift left |c| units. b. the transformation is a vertical shift up |c| units. c. the transformation is a horizontal shift right |c| units. d. the transformation is a vertical shift down |c| units.

Explanation:

Step1: Recall function shift rules

For a function $f(x)$, $f(x+c)$ where $c>0$ shifts the graph horizontally.

Step2: Identify direction of shift

When $c>0$, $f(x+c)$ shifts $f(x)$ left by $|c|$ units.

Answer:

A. The transformation is a horizontal shift left $|c|$ units.