I forgot how to graph things -_- Describe, ?n two steps, how to transform the gr

Question

I forgot how to graph things -_-

Describe, ?n two steps, how to transform the graph of f(x) into the graph of the function. 8 - f(x) First reflect the graph across the x-axis then shift down 8 units. First shift the graph up 8 units then reflect across the y-axis. First shift the graph up 8 units then reflect across the x-axis. First reflect the graph across the x-axis then shift up 8 units. First reflect the graph across the y-axis then shift up 8 units. What graph do you obtain if you reverse the two steps in this case? -8 + f(-x) -8 - f(x) 8- f(-x) 8 - f(x) 8 + f(-x)

Explanation / Answer

8-f(x):

step 1: obtain -f(x). this can be done by reflecting along x -axis.

now obtain 8-f(x) i.e. add value 8 to -f(x). so this can be achieved by shifting up by 8 units.

hence option d is correct.

Q2. so first shift up by 8 units.

then f(x)+8

then reverse across x-axis, then -f(x)-8

so option b is correct.

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