Describe how the graphs of y=|x| and y=|x+5| are related.

To describe the graph y= |x| and y= |x+5| are related.

Modulus function state that the 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|.

then,

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.

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

then, substitute the value of y=0 and solve for x.

For the function y = |x|

to find the x-intercepts:

substitute value of y=0 we get;

0 = |x|

⇒

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

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

Find: x-intercept

substitute the value of y =0 we get;

by definition of modulus function:

x+5 = 0 and -(x+5)=0

we get;

x = -5

Therefore, the x-intercept of the function y=|x+5| is, (-5, 0)

Translation:

To translate the absolute value function f(x)=| x | horizontally, you can use the function  

g(x)=f(x−k).

Since, k = -5 < 0

then;

therefore, the graph y=|x| is translated 5 units to the left to get, y=|x+5|

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step-by-step explanation:

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.