Question

Consider the function f(x) = log (z). Which two transformations can be used to move the graph off(x) to the graph of -f(x+4)?Select all that apply.0A translate 4 units upHB. translate 4 units downC. translate 4 units to the leftD. translate 4 units to the rightE reflect over the x-axisF. reflect over the y-axisG reflect over the line = 4H. reflect over the line r = -4O

Answer 1

Given:

Given function is f(x)= log(x).

Find:

we have to plot the graph of f(x) and -f(x+4) and find the difference between two graphs.

Step-by-step explanation:

Firstly, we will draw the graphs of both function f(x) and -f(x+4).

In the above graph, the graph of f(x)=logx is represented by violet colour and the graph of -f(x+4)= -log(x+4) is represented by red colour.

From the above graph, it is observed that the graph of -f(x+4) is translated 4 units left and reflect over the X-axis.

Conclusion:

Therefore, option C and E are correct options....