Question

Describe the transformations necessary to transform the graph of f(x) into that of g(x)

Answer 1

Answer:

C)

Step-by-step explanation:

$\sqrt{x}$ : original function

$\sqrt{-x}$ : reflect across the y-axis

$\sqrt{-\dfrac13x}$ : horizontal stretch by a scale factor of 3

$\sqrt{-\dfrac13(x-3)}$: translate right 3 units

f(x) : original function

f(-x) : reflection over y-axis

f(ax) : horizontal stretch of the graph by a scale factor of 1/a

f(x - a) : horizontal translation right a units