Question

Identify the transformations of the graph of ƒ (x) = x 3
that produce the
graph of the given function g (x). Then graph g (x) on the same coordinate
plane as the graph of ƒ (x) by applying the transformations to the
reference points (-1, -1), (0, 0) , and (1, 1).

g (x) = 2 (x - 1)^3-1


why is the answer: ( I don't get the vertical stretch part)

The transformations of the graph of ƒ (x) that produce the graph of
g (x) are:
• a vertical stretch by a factor of 2
• a translation of 1 unit to the right and 1 unit down
thank you sooooo much

if you can explain the vertical stretch versus horizontal stretch versus compression

Answer 1

Think about the axis (horizontal x, versus vertical y) and then think about compression (getting fatter) and stretch (getting skinnier). You might want to graph a few to see if you can see the results. You might want to also go over the notes your teacher gave you : )