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