Question

Describe how to transform the graph of g(x)=ln x into the graph of f(x)=ln(x-4)+3?

options:
a.
Translate 4 units to the left and 3 units up
c.
Translate 4 units to the right and 3 units down
b.
Translate 4 units to the right and 3 units up
d.
Translate 3 units to the left and 4 units down

Answer 1

c edge

Explanation:

Answer 2

Subtraction of a number from x represents a shift towards right. So this means g(x) has been shifted 4 units to right. Addition of a number to the function value represents a vertical shift. So g(x) has been shifted 3 units up to get f(x).

So, we can write f(x) as:

f(x) = g(x - 4) + 3

So, translate g(x) 4 units to right and 3 units up to get f(x).

Thus, option C is the correct answer