Graph the function. $f ( x ) = - 3 \sqrt { x - 4 } + 1$

Name: Graph the function. $f ( x ) = - 3 \sqrt { x - 4 } + 1$
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Question

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The function is a square root function shifted 4 units to the right and reflected about the x-axis with a vertical stretch of 3 and a vertical shift of 1. The vertex is at (4,1) and the graph approaches but never touches the x-axis. Choice A is incorrect because it reflects the function about the y-axis, while choice B has incorrect vertical stretch and shift.

Graph the Function f(x)=−3x−4+1f ( x ) = - 3 \sqrt { x - 4 } + 1f(x)=−3x−4​+1

Graph the Function $f ( x ) = - 3 \sqrt { x - 4 } + 1$