Consider the graph of $g ( x ) = \sqrt { x }.$ Use your knowledge of rigid and nonrigid transformations to write an equation for the following descriptions. The graph of $g$ is reflected in the x-axis, shifted eight units to the right, and shifted nine unit downward.
A) $h ( x ) = - \sqrt { x + 8 } - 9$
B) $h ( x ) = - \sqrt { x - 8 } - 9$
C) $h ( x ) = \sqrt { x - 8 } - 9$
D) $h ( x ) = \sqrt { x + 8 } + 9$
E) $h ( x ) = - \sqrt { x - 9 } + 8$

Question

Quizplus · Accepted Answer

Reflecting $g(x) = \sqrt{x}$ in the x-axis multiplies the function by -1, shifting it 8 units to the right replaces $x$ with $x - 8$, and shifting it 9 units downward subtracts 9 from the function, resulting in $h(x) = -\sqrt{x - 8} - 9$.

Consider the Graph Of g(x)=x.g ( x ) = \sqrt { x }.g(x)=x​.

Consider the Graph Of $g ( x ) = \sqrt { x }.$