Is y=-2/3(x-4)^2+7 standard or vertex form

Vertex form.

Step-by-step explanation:

It is in vertex form. The quadratic opens down and shows us that the vertex is at (4,7) The graph below confirms it. The only point you need to worry about is (4,7). That is read directly from the equation.

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:

22 dimes and 9 nickels

step-by-step explanation: