SOLUTION: The vertex of the parabola below is at the point (1, 3) and the point (2, 6) is on the parabola. What is the equation of the parabola? i had gotten y = 6(x

SOLUTION: The vertex of the parabola below is at the point (1, 3) and the point (2, 6) is on the parabola. What is the equation of the parabola? i had gotten y = 6(x - 1)^2 + 3 but it cam

Question 144994: The vertex of the parabola below is at the point (1, 3) and the point (2, 6) is on the parabola. What is the equation of the parabola?
i had gotten y = 6(x - 1)^2 + 3 but it came out wrong.
these are the other options
A. y = 3(x + 1)^2 - 3
C. y = 3(x - 1)^2 + 3
D. x = 2(y - 3)^2 + 1

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Since the vertex is (1,3) this means

Now plug in and

Subtract

Square 1 to get 1

Multiply

Subtract 3 from both sides

So the equation is which means that the answer is choice C)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The vertex of the parabola below is at the point (1, 3) and the point (2, 6) is on the parabola. What is the equation of the parabola?
i had gotten y = 6(x - 1)^2 + 3 but it came out wrong.
these are the other options
A. y = 3(x + 1)^2 - 3
C. y = 3(x - 1)^2 + 3
D. x = 2(y - 3)^2 + 1
---------------------
Form:
y = a(x-h)^2 + k
6 = a(2-1)^2 + 3
6 = a+3
a = 3
-------------
EQUATION:
y = 3(x-1)^2+3
Answer: C
================
Cheers,
Stan H.
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