-x^2+4x-8
axis of symmerty​

Step-by-step explanation:

The axis of symmetry can be calculated using the formula:

First we must determine a and b from the quadratic: . This is in standard form, with the highest power first in descending order.

Standard form is also:

If we compare this to the quadratic given, we can conclude that:

Substitute the values for a and b into the formula.

Multiply in the denominator.

Divide.

This can also be determined from the graph. It is the x-coordinate of the vertex or the maximum/minimum. It divides the quadratic into 2 symmetrical halves.

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: