The Square Root Function — Quiz

Question 14 • Algebra 2 with Probability

Which represents the reflection of f of x is equal to square root of x over the x -axis?

Answer

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, 'negative 1'; Column 2, '1' Row 3: Column 1, '0'; Column 2, '0' Row 4: Column 1, '1'; Column 2, 'undefined' Row 5: Column 1, '4'; Column 2, 'undefined'

Image with description On a coordinate plane, an absolute value graph starts at (0, 0) and goes down and to the left through (negative 4, negative 2).

Image with description On a coordinate plane, an absolute value graph starts at (0, 0) and goes down and to the right through (2, negative 4).

Table with 2 columns and 5 rows.Row 1: Column 1, 'x'; Column 2, 'f of x' Row 2: Column 1, 'negative 1'; Column 2, 'undefined' Row 3: Column 1, '0'; Column 2, '0' Row 4: Column 1, '1'; Column 2, 'negative 1' Row 5: Column 1, '4'; Column 2, 'negative 2'

Explanation

Reflecting a graph across the x-axis changes each output y to its opposite, so the reflected function is −√x. Its domain remains x ≥ 0: at x = 0, 1, and 4, the outputs are 0, −1, and −2, while x = −1 is undefined. Choice A shows these values.

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