Question

How has y=3|x-7| transformed from its parent function

Answer 1

It was stretched by a factor of 3 and translated by 7 units to the right

Step-by-step explanation

The function given is:

y = 3|x - 7|

The parent function of an absolute value function as this is:

y = |x|

When an absolute value function is transformed, it can be represented by:

y = a|x - h| + k

where a = factor of dilation

h = horizontal shift or translation (left or right shift)

k = vertical shift or translation (up or down shift)

Therefore, for the function given:

a = 3

h = 7

This tells us that the function was stretched by a factor of 3, and it was also translated by 7 units to the right.