30. f(x) = |x|; reflection in the y-axis followed by a
translation 3 units right

Step-by-step explanation:

We are given the parent function:

And we want to find the equation after a reflection in the y-axis followed by a translation of three units right.

To reflect a function over the y-axis, we multiply the input by a negative. That is:

In other words, a reflection over the y-axis will be given by:

To shift horzontally, we add if we are moving leftwards or subtract if we are moving rightwards. That is:

Where k is the horizontal translation.

Since we are translating three units rightwards, k = 3. Hence:

Recall that |ab| = |a||b|. Hence:

Hence, f reflected over the y-axis followed by a translation of three units right is given by:

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.