The graph of y = |x| is shifted to the left by 6 units.
what is the equation of the new graph?
a) y = |x+6| -6
b) y= |x-6| -6
c) y = |x| - 6
d) y = |x+6|

D, y= |x+6|

When a graph is shifted to the left, you add the shifted value to the x value in function notation.

final answer is : )

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph