Question

Given g(x)=tan(x−π4), which of the following graphs has been reflected across the x-axis and translated 4 down?g(x)=−tan(x−π4)−4g(x)=tan(−x+π4)−4g(x)=tan(−x+π4)+4g(x)=−tan(x−π4)+4

Answer 1

Answer:$g(x)=-\tan (x-\frac{\pi}{4})-4$Explanation:

The given function is:

$g(x)=\tan (x-\frac{\pi}{4})$

The function g(x) is first reflected across the x-axis

That is, the function g(x) will be negated to become:

$g(x)=-\tan (x-\frac{\pi}{4})$

The second step is to translate the resulting function down by 4 units

The resulting function after translation by 4 units downwards is:

$g(x)=-\tan (x-\frac{\pi}{4})-4$