This chart shows the volumes of four different objects.

if the objects all have the same mass, which object is the most dense?

The object most dense is the object

Step-by-step explanation:

we know that

The density is equal to divide the mass by the volume

If all objects have the same mass the object with the smallest volume will have the greatest density

so

In this problem

the object with the smaller volume is the object

therefore

The object most dense is the object

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:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1