Answer:
Option D is correct
The functions have the same shape.
The Y-intercept of y=|x| is 0, and the y-intercept of the second function is -5.
Step-by-step explanation:
The modulus function is a function which gives a positive output irrespective of the input.
The graph as shown below in the attachment :
y=|x|-5 makes a "V'" shape much like y=|x|.
Every absolute value graph will take this shape, as long as the expression inside the absolute value is linear.
therefore, the functions y=|x| and y=|x| -5 have the same shape.
Y-intercept:It is the value of y at the point where the line crosses the y axis.
or Substitute the value of x=0 to solve for y.
For th function y=|x|
the y-intercept is;
Substitute the value of x =0 we get;
y = |0| = 0
Therefore, the y-intercept of y=|x| is 0.
Similarly, for the function y=|x|-5
the y-intercept is;
Substitute the value of x =0 we get;
y = |0|-5= -5
Therefore, the y-intercept of y=|x|-5 is -5
