the first image shows the parent square root function f(x) = sqrt x. The next two images show a transformation of the parent function. use the following choices to determine the rule used to transform f(x). Enter the option that corresponds to your response.

Answer 1

To help you determine the transformation of the parent square root function \( f(x) = \sqrt{x} \), I need specific information about how the function has been altered in the images you mentioned. Typically, transformations can include shifts, stretches, compressions, or reflections.

Common transformations include:

1. Vertical shifts: \( f(x) + c \) (up for \( c > 0 \), down for \( c < 0 \))
2. Horizontal shifts: \( f(x - c) \) (right for \( c > 0 \), left for \( c < 0 \))
3. Vertical stretches/compressions: \( a \cdot f(x) \) (stretches for \( a > 1 \), compresses for \( 0 < a < 1 \))
4. Horizontal stretches/compressions: \( f(b \cdot x) \) (compresses for \( b > 1 \), stretches for \( 0 < b < 1 \))
5. Reflections: \( -f(x) \) (over the x-axis) or \( f(-x) \) (over the y-axis)

If you can describe what changes were made to \(\sqrt{x}\) in the images (for example, whether it has been shifted upward, reflected, or if there are changes in steepness), I'd be able to help you determine which transformation rule applies. Please provide additional details or options to choose from!