The formula to find the mid-point of a line segment give the two end points is:
M
=
(
x
1
+
x
2
2
,
y
1
+
y
2
2
)
Where
M
is the midpoint and the given points are:
(
x
1
y
1
)
and
(
x
2
y
2
)
Substituting the values from the points in the problem gives:
M
=
(
−
3
+
1
2
,
3
+
−
3
2
)
M
=
(
−
2
2
,
0
2
)
M
=
(
−
1
,
0
)
Standard form of the parabola function: (y-k) = a(x-h)²
vertex (h,k)==> vertex (2,-5) [given]. Now plug==> y+5 =a(x-2)²
To calculate a, plug in the equation the coordinates of A(3,4)
4+5 = a(3-2)² ==> 9=a
Finally the equation is f(x) = y+5 = 9(x-2) or y = 9(x-2)² -5
Or f(x) =y = 9x² - 36x + 3
This is the answer for your question
There are 2 cups in 1 pint. That's a hint.
option D is correct answer.
