How does the graph of the function f(x)=2x^3-1 differ from the graph of its parent function?

Graph of parent function stretch vertically by factor 2 and shifts 1 units down to get the graph of f(x).

Step-by-step explanation:

The given function is

Its parent function is  

The translation is defined as

               ... (1)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The given function can be written as  

        ...(2)

On comparing (1) and (2), we get

It means graph of parent function stretch vertically by factor 2 and shifts 1 units down to get the graph of f(x).

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

step-by-step explanation:

a and d