Write an equation of the translated function of the parent function f(x)=|x| with the following transformations:

horizontal stretch of a factor of 4 and a vertex of (-4,-4). assume that the x and y axis increase in increments of 2

Option b

Step-by-step explanation:

To write the searched equation we must modify the function f (x) = | x | in the following way:

1. Do y = f(x + 4)

This operation horizontally shifts the function f(x) = | x | by a factor of 4 units to the left on the x axis.

y = | x +4 |

2. Do

This operation horizontally expands the function f (x) = | x | in a factor of 4 units.

3. Do

This operation vertically shifts the function f (x) = | x | by a factor of 4 units down on the y-axis.

4. After these transformations the function f(x) = | x | it looks like:

Therefore the correct option is option b. You can verify that your vertex is at point (-4, -4) by making f (-4)