What is the vertex of the graph of y = –x2?

(–1, 0)

(0, –1)

(0, 0)

(1, 1)

Option (3) is correct.

The vertex of given equation is (0,0)

Step-by-step explanation:

  Given equation  

We have to find the vertex of the graph of given equation.

Consider the equation    

Since, given equation is a form of quadratic equation with a =-1 , b=c=0, then ,

If the quadratic is written in the form then the vertex is the point (h, k).

Writing the given equation in the form of , we get,

On comparing, we get,

h = k= 0  and a = -1

Thus, the vertex is (0 , 0)

Option (3) is correct.

The vertex of given equation is (0,0)

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.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: