What is the correct expansion of (2x+3) (2x^2-5)

4x^3 + 6x^2 -10x - 15

Step-by-step explanation:

* means multiply

4x^3 + 6x^2 -10x - 15

2x * 2x^2 = 4x^3

2x * -5 = 10x

3 * 2x^2 = 6x^2

3 * -5 = -15

4x³ + 6x² - 10x - 15

Step-by-step explanation:

(2x+3) (2x²-5)

4x³ - 10x + 6x² - 15

4x³ + 6x² - 10x - 15

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

because they could drop even lower..