Question

The function g(x) = 8|x – 15| - 30 is a transformation of the parent function p(x) = x. Which of the following correctly describes the transformation of function p that generates function g?
A p is translated 30 units down, then has a vertical shrink by a factor of 8, and then is translated 15 units right.
B. p has a vertical shrink by a factor of 8, then is translated 15 units down, and then is translated 30 units left
c. p is translated 15 units left, then has a vertical stretch by a factor of 8, and then is translated 30 units up.
D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

Answer 1

Using translation concepts, it is found that the correct option, which represents the transformation made to function $g(x) = 8|x - 15| - 30$, is given by:

D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

The parent function is:

$p(x) = |x|$

The first transformation was $x \rightarrow x - 15$, which means that it was shifted 15 units to the right.

Then, the function was multiplied by 8, which means that it was stretched vertically by a factor of 8.

Finally, 30 was subtracted from the function, which means that it was shifted down 30 units.

Hence, the correct option is given by:

D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

A similar problem is given at brainly.com/question/18405655