Please help me and find the vertex, I'm almost done with this test, just going insane over it

The vertex is (5,-7)

Step-by-step explanation:

Here, we want to get the vertex

Mathematically, we have the vertex form as

y = a(x-h)^2 + k

With the function given;

h = 5

k = -7

So, the coordinates of the vertex is (h,k) = (5,-7)

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: