Which functions are symmetric with respect to the y-axis? check all that apply. f(x) = |x| f(x) = |x| + 3 f(x) = |x + 3| f(x) = |x| + 6 f(x) = |x – 6| f(x) = |x + 3| – 6

The correct options are 1, 2 and 4.

Step-by-step explanation:

The vertex form of an absolute function is

Where, (a,b) is the vertex of the function and x=a is axis of symmetry.

The function is symmetric with respect to the y-axis. It means the axis of symmetry is x=0. It is possible if the value of a in the vertex form is 0.

In option 1,

Here, a=0 and b=0.

Since the value of a=0, therefore it is symmetric with respect to the y-axis.

In option 2,

Here, a=0 and b=3.

Since the value of a=0, therefore it is symmetric with respect to the y-axis.

In option 3,

Here, a=-3 and b=0.

Since the value of a≠0, therefore it is not symmetric with respect to the y-axis.

In option 4,

Here, a=0 and b=6.

Since the value of a=0, therefore it is symmetric with respect to the y-axis.

In option 5,

Here, a=6 and b=0.

Since the value of a≠0, therefore it is not symmetric with respect to the y-axis.

In option 6,

Here, a=-3 and b=-6.

Since the value of a≠0, therefore it is not symmetric with respect to the y-axis.

Hence the correct options are 1, 2 and 4.

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows:

step-by-step explanation:

what grade level is this? need to know so i can look in my old textbooks!