Algebra 2: Compare the graphs below of the logarithmic functions. Write the equation to represent g(x).

a graph of f of x equals log x and a graph of a similar log function, g of x, that is the same as f of x and shifted down 4 units

g(x) = log(x) − 4
g(x) = log(x) + 4
g(x) = log(x + 4)
g(x) = log(x − 4)

Question

Algebra 2: Compare the graphs below of the logarithmic functions. Write the equation to represent g(x).

a graph of f of x equals log x and a graph of a similar log function, g of x, that is the same as f of x and  shifted down 4 units

g(x) = log(x) − 4
 g(x) = log(x) + 4
 g(x) = log(x + 4)
 g(x) = log(x − 4)

NicktheBlade16 · Answer

@Alexis1415

Alexis1415 · Answer

Ok so again

The answer is B,  g(x) = log(x) + 4

Reasoning:

$$g(x)=f(x)+4$$

$$g(x)=\log(x)+4$$

So 1 is usually what x is so i'm going to put that into the equation.

$$f(1)=\log(1)=0$$

$$g(1)=\log(1)+4=4$$

So thats how we get,  g(x) = log(x) + 4

NicktheBlade16 · Answer

Alright. Thank you, i hope you have your question answered and that you have a good day.

Alexis1415 · Answer

@nicktheblade16 wrote:

Alright. Thank you, i hope you have your question answered and that you have a good day.

Ofc, thank you, you too!

NicktheBlade16 · Answer

thx