Aparabola contains the points (0,,-2) and (1,6). what is the equation of the parabola in standard form?

Let the equation be:

y = ax^2 + bx + c.

Then, substitue the three points into the equation.

First point: 0 = a0^2 + b0 + c.

So  c = 0.

Second point: -2 = a(-1)^2 + b(-1) + c.

So  a - b + c = -2.

Third point: 6 = a*1^2 + b*1 + c.

So  a + b + c = 6.

We know that c=0 already, so we substitute c=0 into the last two equations and we would get:

a - b = -2

a + b = 6

We add the two equations and we get:

2a = 4

a = 2

Then, we substitute a=2 into a-b=-2 and we get:

-b = -4

b = 4

Now we know a = 2, b = 4, and c = 0

Then, the equation of the parabola would be:

2x^2 + 4x

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi