Which function in the vertex form is equivalent to f(x)=4+x2-2x

f(x) = 4x - x² - 2x

Vertex form of a parabola: y = a(x - h)² + k where (h, k) is the vertex of this parabola

y = a.(x - h)² + k

y = -1.(x - h)² + k

Let's factor:

f(x) = -x² - 2x + 4

f(x) = -(x + 1)² + 1 + 4

f(x) = -(x + 1)² + 5

So we don't even need to find the vertex, we can just factor.

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.

c

c

c

c

c

c

c

cc

c

step-by-step explanation: