Graphing Radical Functions — Quiz

Question 1 • Algebra 2 with Probability

Which of the following is the graph of y is equal to negative 4 square root of x ?

Answer

Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from the origin and passes through the points (1 comma 4) and (4 comma 8) in the 1st quadrant.

Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from the origin and passes through the points (4 comma negative 2) and (8 comma negative 3) in the 4th quadrant.

Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from the origin and passes through the points (1 comma negative 4) and (4 comma negative 8) in the 4th quadrant.

Image with description On a coordinate plane x and y axes range from negative 9 to 9 in increments of 1. The curve originates from the origin and passes through the points (negative 1 comma 4) and (negative 4 comma 8) in the 2nd quadrant.

Explanation

For y = −4√x, the square root requires x to be nonnegative, and the negative sign places the graph at or below the x-axis. Substituting x = 1 gives y = −4, and x = 4 gives y = −8. The graph passing through (1, −4) and (4, −8) is choice C.

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