Answer:
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
