Question

tell how the function transformed from y =|x| y =-2|x| stretched vertically and reflected over x - axis translated left 2 units reflected over x - axis compressed vertically and reflected over the x - axis

Explanation:

Step1: Identify vertical stretch factor

For $y = a|x|$, $|a|>1$ means vertical stretch. Here $|-2|=2>1$, so vertical stretch by factor 2.

Step2: Identify x-axis reflection

Negative $a$ ($a=-2$) reflects over x-axis.

Step3: Match to correct option

Combine stretch and reflection.

Answer:

Stretched vertically and reflected over x-axis