Describe how to transform the graph of f into the graph of g.
-$$f ( x ) = \sqrt { x - 3 } \text { and } g ( x ) = \sqrt { x + 6 }$$
A) Shift the graph of $f$ left 9 units.
B) Shift the graph of f right 3 units.
C) Shift the graph of $f$ left 3 units.
D) Shift the graph of $f$ right 9 units.

Question

Quizplus · Accepted Answer

To transform $f(x) = \sqrt{x - 3}$ into $g(x) = \sqrt{x + 6}$, you need to shift the graph of $f$ left by 9 units. This is because changing from $-3$ to $+6$ in the argument of the square root function indicates a leftward shift of 9 units on the x-axis.

Describe How to Transform the Graph of F into the Graph