The Square Root Function — Quiz

Question 6 • Algebra 2 with Probability

Which is the graph of the function f of x is equal to negative square root of x ?

Answer

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

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 (4, negative 2).

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

Explanation

For f(x) = −√x, x must be zero or positive, so the graph extends to the right from (0, 0). The negative sign makes the function’s outputs zero or negative; for example, f(4) = −√4 = −2. Therefore, the graph goes down and to the right through (4, −2), which is choice C.

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