Write a quadratic function in a standard form whose graph passes through (−8, 0), (1, 0), and (2, 30).

f (x) =

The equation is y = 5*x^2 + 65*x - 70

Step-by-step explanation:

We have 3 points for our equation, the if our equation has the shape

y = ax^2 + bx + c

we have the 3 equations:

0 = a(-8)^2 + b*-8 + c = a*64 - b*8 + c

0 = a(1)^2 + b*1 + c = a + b + c

30 = a2^2 + b*2 + c = a*4 + b*2 + c

Now we have 3 equations and 3 variables, let's solve the system.

64*a - 8 *b + c = 0

a + b + c = 0

4*a + 2*b + c = 30

Let's isolate one of the variables, i chose to isolate c in the second equation and get

c = -a - b

now we can replace it in the other two equations:

64*a - 8*b + (-a - b) = 63*a - 9*b = 0

4*a + 2*b + (-a - b) = -3*a + b  = 30

now we can isolate b in the second equation and get:

b = 30 + 3*a

and we replace it in the other eqution:

63*a - 9*(30 + 3*a) = 0

63*a  - 180 - 27*a = 0

(63 - 27)*a - 180 = 0

36*a = 180

a = 180/36 = 5

Now we can find the value of b:

b = 30 + 3*a = 30 + 3*5 = 30 + 35 = 65

Now we can find the value of c.

c = -a - b = -5 - 65 = 70

The equation is:

y = 5*x^2 + 65*x - 70

c 1 hour

step-by-step explanation:

m = 2e

m = 2 so 2 = 2e

1 = e

you estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82 .the total height of the building is another 123 meters above the 86th floor.

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