Answer:
C
(5,7)
Step-by-step explanation:
y = a(x - 3)^2 + 2 The second point solves for a
x = 1
y = 7
7 = a(1 - 3)^2 + 2
7 = a(-2)^2 + 2 Subtract 2 from both sides
7-2 = a*4 +2 - 2
5 = 4a
a = 5/4
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y = 5/4 (x - 3)^2 + 2
B isn't going to work. x - 3 reduces to 0. There is no way that y = 7 out of that.
The x value - 3 must be divisible by 4 because the answers are all integers. Try C.
y = 5/4 (5 - 3)^2 + 2
y = 5/4 (2)^2 + 2
y = 5/4 (4) + 2
y = 5 + 2
y = 7
So the other point is 5,7
