The vertex of the graph of y = -4(x + 3)2 + 2 is

(-3,2)

Step-by-step explanation:

This equation is written in vertex from

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

Vertex from is

y = a(x - h)2 + k, where vertex is (h,k).

We can rewrite our equation

y = -4(x - (- 3))2 + 2.

So vertex is (-3,2)

idk do it yourself or ask somebody idk stop going online asking for

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: