Which polynomial function could be represented by the graph below? On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 3), and goes through (4, 0).

Step-by-step explanation:

Let the base function be

It has the vertex at (3, -3), so it is translated 3 units right and 3 units down:

It has zero's at (2, 0) and (4, 0)

Substitute and solve for a:

or

So the function is:

See the attached

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

0.32

step-by-step explanation:

2.24/7