Write an equation in vertex form of the parabola that passes through (4, 20) and has a vertex of (1, 2). *

f(x) = 2(x - 1)² + 2

Step-by-step explanation:

The vertex form is f(x) = a(x - h)² + k, where the vertex is (h, k).

Putting in the given vertex, we get  f(x) = a(x - 1)² + 2. To find a, we put in the other point that the parabola passes through (4, 20) which is [x, f(x)].

20 = a(4 - 1)² + 2

20 = a(3)²  +  2

20 = 9a + 2    (subtract 2 from both sides to get a alone)

-2            -2

18  =  9a    (divide both sides by 9 to get a by itself)

9       9

2 = a   (put that into our vertex form equation)

f(x) = 2(x - 1)² + 2

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

4.08%

step-by-step explanation: