Determine the orientation of the parabola.
directrix: x= -4; p=-3

see explanation

Step-by-step explanation:

Since the directrix has equation x = - 4, that is a vertical line

This indicates that the parabola is horizontal

Since p = - 3

This indicates the parabola opens to the left.

The parabola is horizontal and opens to the left.

Step-by-step explanation:

Givens

The directrix is and

Now, if the directrix has the form , it means the directrix is vertical and the parabola is horixontal.

Its equation would have the form .

Now, is , the parabola would open to the negative side, and its equation is

Therefore, the parabola is draw towards the negative numbers of horizontal axis.

The image attached shows the direction of the parabola.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.