Hi, i need help with this one. thank u

D

Step-by-step explanation:

First, remember two things about translations.

For a function f(x).

A horizontal translation to the right of N units is written as:

f(x - N)

A vertical translation up of N units is written as:

f(x) + N.

Now let's look at the graph.

You can see that:

g(x) is: 4 units at the right of f(x) and 3 units bellow f(x).

Then we have:

g(x) = f(x - 4) - 3.

and f(x) = ∛x

then g(x) = ∛(x - 4) - 3

The correct option is D.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions