what is the graph of the absolute value equasion? y = 6|x| (I know what the graph is bc its multiple choice and its SUPER obvious... I just need help with the work...)

Respuesta :

Well there isn't much work to be done, to graph you can either eye it in since its multiple choice or you can mke a table of x and y values that would be used to graph.
We know a parent absolute value function goies through the points (0,0)(1,1)(-1,1)(2,2)(-2,2)(3,3)(-3,3) etc (since it is basically just 2 regular identity (linear) functions)
However it is transformed with a 6 in frint of the |x| which indicates a vertical stretch. This means we will multiply all the y-values by 6 to get the streched graph.

x-values: -2,-1, 0, 1, 2
y-values: 2, 1, 0, 1, 2
(y-values)•6: 12,1,0,6,12

So the new graph points are
(-2,6) (-1,12) (0,0) (1,6) (2,12)

I hope this helps!!