Can someone help with the transformation of this sine function?

[oak marsh]

The sine function starts on the one opening downwards. I'm preparing for an exam about transformations of functions (alg 2 / trig) and my question is: You can use the graphing method for this function to get the final transformation, but its really lengthy. Using a point method (convert x1, y1 ---> to x2,y2) is wayyy faster, but the issue is, when you get the final points, how do you know where to connect the points? I would only know how to connect the points to that spike derived from the absolute value brackets if I actually graphed stepped by step. Anyone know what to do

[blissful stag]

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[flat harbor]

graph more points?

[oak marsh]

u mean like plug in different points in the function?

[flat harbor]

yes

more points to connect = better connect the dots

[oak marsh]

then graphing step by step would be faster anyway right

[flat harbor]

maybe?

[oak marsh]

alr thanks

+close