Write the equation of the function of a parabola with vertex at (-1,-2) and a point (1,-6) that lies on the curve.

  y = -(x +1)^2 -2

Step-by-step explanation:

The equation of the parabola with vertex (h, k) and vertical scale factor "a" can be written ...

  y = a(x -h)^2 +k

We are given (h, k) = (-1, -2) and (x, y) = (1, -6). Putting those values into the equation, we can solve for "a".

  -6 = a(1 -(-1))^2 -2

  -4 = 4a . . . . . add 2, simplify

  -1 = a . . . . . . divide by 4

The function has equation ...

  y = -(x +1)^2 -2

you already gave the answer

step-by-step explanation:

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,