Aparabola whose equation is y = (x - 5)2 - 2 has a vertex at

Vertex of the parabola is (5,2)

Step-by-step explanation:

The equation of the parabola is

The vertex form of the parabola is given by

Here (h,k) is the vertex of the parabola.

Now, comparing the given equation with the vertex form of the parabola, we get

a = 1, h = 5, k =-2

Therefore, the vertex is

(h,k)

= (5,-2)

Vertex of the parabola is (5,2)

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.

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