Question

Choose the correct transformation of the graph f(x) = |x + 8| - 3.

The graph of f(x) = x| is shifted to the left 8 units, down 3 units.
The graph of f(x) = x| is shifted to the right 8 units, down 3 units.
The graph of f(x) = x| is shifted to the left 8 units, up 3 units.
The graph of f(x) = x| is shifted to the right 8 units, up 3 units.

Answer 1

The graph of f(x) = x| is shifted to the left 8 units, down 3 units.

Answer 2

A. The graph of f(x) = |x| is shifted to the left 8 units, down 3 units.

Explanation:

We are given,

The transformed function is
`f(x)=|x+8|-3`.

Now, the parent function is
`f(x)=|x|`.

So, we have,

When the parent function is shifted 8 units to the left, the function is
`|x+8|`.

This function when translated 3 units downwards gives
`f(x)=|x+8|-3`.

Thus, we get,

The parent function f(x)=|x| is translated 8 units to the left and 3 units downwards.

So, option A is correct.