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.

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

Step-by-step explanation:

We are given,

The transformed function is .

Now, the parent function is .

So, we have,

When the parent function is shifted 8 units to the left, the function is .

This function when translated 3 units downwards gives .

Thus, we get,

So, option A is correct.

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.