Question

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

Answer 1

The transformation that results in the graph of g is (b)

How to determine the transformation that results in the graph of g.

From the question, we have the following parameters that can be used in our computation:

f(x) = log(x)

Also, we have

g(x) = -2log(x) - 4

The above function is a transformed logarithmic function that has been transformed from its parent function f(x) as follows

• Reflected across the x-axix
• Vertically stretched by a factor of 2
• Shifted down by 4 units

Hence, the transformation is (b)

Answer 2

Option (2)

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.