What is the graph of the function rule? y=|5x|-2

Step-by-step explanation:

Y=|5x|-2

Given equation y is in vertex form

y = |x-h| + k

Y=|5x|-2

there is no h so h=0  and k= -2

vertex is (h,k) so its (0,-2)

now make a table. plug in some value for x before and after 0

x            y= |5x| -2

-2          y = |5(-2)| - 2= |-10| -2 = 10-2 = 8

-1          y = |5(-1)| - 2= |-5| -2 = 5-2 = 3

0          y = 0 - 2= -2

1          y = |5(1)| - 2= 3

2          y = |5(2)| - 2= 8

Now we graph the table

the graph is attached below