Below are the functions of y=|x| and y=|x|-5 how are the functions related. a. the functions have the same shape. the y-intercept of y=|x| is 0, and the y-intercept of the second function is 5.b. the functions have the same y-intercept. the second function is steeper than y=|x|.c. the two functions are the same. d. the functions have the same shape. the y-intercept of y=|x| is 0, and the y-intercept of the second function is -5.

Option D is correct.

The functions have the same shape.

The y-intercepts of y=|x| is 0, and the y-intercepts of the second function y=|x|-5 is, -5

Step-by-step explanation:

Modulus function state that a function which gives a positive output irrespective of the input.

The graph of the functions as shown below in the attachment :

The functions are; makes a "V'" shape much like y=|x|.

Every absolute value graph will take this same shape, as long as the expression inside the absolute value is linear.

therefore, these functions and have the same shape.

y-intercepts defined as the graph crosses the y-axis

i.e substitute the value of x=0 and solve for y.

For the function y = |x|

to find the y-intercepts:

substitute value of x =0 we get;

y = |0| = 0

Then, the y-intercept of the function  y=|x| is 0.

Similarly, for the function y = |x|-5

Find: y-intercept

substitute the value of x =0 we get;

y = |0| - 5 = -5

Therefore, the y-intercept of the function y=|x|-5 is -5

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !