Pls answer you dont have to show work

Option D,  (3x - 4)^2

Step-by-step explanation:

Step 1:  Factor the expression

g(x) = 9x^2 - 24x + 16

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

g(x) = (3x - 4)^2

 Option D,  (3x - 4)^2

Prove:  

(3x - 4)(3x - 4)

9x^2 - 12x - 12x + 16

9x^2 - 24x + 16

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.