help with algebra 2 problem: y= 2|2x+10|+1?

Question

i'm having a lot of trouble graphing this!
i know the vertex is (10, 1) since it follow the y=a|x-h| +k formula but i dont know how to find two other points to use to make my graph.
when i tried substituting to find the y intercept i got this :
y= 2 | 2 x 0 + 10| +1
y = 2 |10| +1
y= 21
is this right?
if so, when i tried substituting to find what y would be if the x=6, i got y= 45.
this doesnt make sense when i grpah it because my graph goes up then down.
can someone explain to me how to find two points?

and then how do i write a function in the form y= a|x-h|+k that has the same graph?

Answer 1

y=4x+20 +1
y=4x+21

Answer 2

pick any points you want. Try it on a graphing calculator. You can pick any x values you want then solve. This is going to look like a V. The value (6,45) is correct

Answer 3

This is not one straight line

You got one point already (0,21)

The lowest point is when |2x+10| = 0 x=-5 (-5,1)

joint these two point and you have a line with positive slope

Use x = -10, say and find another point (-10,21)
then joint (-5,1) and (-10,21) gives a straight like with a negative slope.