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9. Use the graph of f to describe the transformation that results in the graph of g.
f(x) = log x; g(x) = -2log x - 4

9 Use the graph of f to describe the transformation that results in the graph of g fx log x gx 2log x 4 class=

Respuesta :

Answer:

Option (2)

Step-by-step explanation:

Parent function, f(x) = logx

When function f(x) reflected over x axis,

f'(x) = -logx

f'(x) expanded vertically by a factor of 2,

f"(x) = -2logx

Then f"(x) shifted 4 units down, new function will be,

g(x) = -2logx - 4

When we combine all these steps,

"Parent function f(x) reflected over x-axis, expanded vertically by a factor of 2 and shifted 4 units down."

Option (2) will be the answer.