What is the equation of the quadratic function represented by this graph

Step-by-step explanation:

f(0) = 8       {y-axis intercept = (0, 8)}

Vertex = (1, 9)

f(x) = a(x - 1)² + 9

8 = a(0-1)² + 9

8 = a + 9

a = -1

f(x) = - (x - 1)² + 9

f(x) = - (x² - 2x + 1) + 9

f(x) = - x² + 2x - 1 + 9

f(x) = - x² + 2x + 8

x₁ = -2  and x₂ = 4, so also:

f(x) = -(x + 2)(x - 4)

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.