7
QuizMultiple Choice

Modeling with Functions — Quiz

Question 7 • Advanced Financial Algebra

The graph of a square root function is transformed according to the formula y=a⁢sqrt(x−h)+k , where h represents the horizontal shift and k represents the vertical shift. If the function is moved to the right and down, which are possible values for h and k ?

Answer
A
h is equal to negative 5 and k is equal to 0
B
h is equal to 2 and k is equal to negative 4
C
h is equal to 2 and k is equal to 3
D
h is equal to negative 5 and k is equal to negative 4

Explanation

In y = a√(x − h) + k, a positive h shifts the graph to the right, and a negative k shifts it down. Choice B has h = 2 and k = −4, so it moves the graph right 2 units and down 4 units.

AI-written and checked against the verified answer.

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