Question

Compare the function with the parent function. Without graphing, what are the vertex, axis of symmetry, and transformations of the given function?

y = │6x – 2│ – 7

Answer 1

The parent function is a right angle (V) with the vertex at (0,0)
Adding and subtracting within the function (i.e., the 2) in this case will cause a horizontal shift in the opposite direction (in this case it will shift 2 to the right).
Adding and subtracting outside the function (i.e., the 7) will case a vertical shift in the same direction (in this case it will shift down 7).
Using this information the new vertex will be (2,-7) and the axis of symmetry will be x=2.
Multiplying inside the number will cause a horizontal stretch if the number being mupliplied is less than 1 and a horizontal squish if the number is greater than 1 (in this case it will be a squish)

Hopefully you can see my series of transformations in the picture