Question

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

Choose an option

SHOW YOUR WORK

Answer 1

C)

Explanation:

`√(x)` : original function

`√(-x)` : reflect across the y-axis

`√(-\frac13x)` : horizontal stretch by a scale factor of 3

`√(-\frac13(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