Which absolute value function, when graphed, represents the parent function, f(x) = |x|, reflected over the x-axis an which absolute value function, when graphed, represents the parent function, f(x) = |x|, reflected over the x-axis and translated 1 unit to the right? d translated 1 unit to the right?

(i)

(ii)

Step-by-step explanation:

we are given two different questions

(i)

parent function is

now, it is reflected  over x-axis

Suppose, (x,y) is reflected over x-axis

(x,y) becomes (x,-y)

So, we replace y as -y and x remain same

so, we get

So, our required function is

(ii)

parent function is

now, it is reflected  over x-axis

Suppose, (x,y) is reflected over x-axis

(x,y) becomes (x,-y)

So, we replace y as -y and x remain same

so, we get

now, it is translated 1 unit to right side

Whenever any function is translated to right side by 'a' units

so, we can replace x as x-a

so, we can replace x as x-1 here

we get

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)