2
QuizMultiple Choice

Graphing Radical Functions — Quiz

Question 2 • Algebra 2 with Probability

Which of the following describes the graph of y is equal to square root of negative 4 x minus 36 end root compared to the parent square root function?

Answer
A
stretched by a factor of 2 , reflected over the x -axis, and translated 9 units right
B
stretched by a factor of 2 , reflected over the y -axis, and translated 9 units left
C
stretched by a factor of 2 , reflected over the x -axis, and translated 9 units left
D
stretched by a factor of 2 , reflected over the y -axis, and translated 9 units right

Explanation

Factor the expression inside the radical: y = √[-4(x + 9)] = 2√[-(x + 9)]. The factor 2 creates a vertical stretch by 2, the negative on x reflects the graph over the y-axis, and x + 9 shifts it 9 units left. Therefore, the graph is stretched by a factor of 2, reflected over the y-axis, and translated 9 units left.

AI-written and checked against the verified answer.

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