suppose the parabola has a vertex (4,6) and also passes through the point (5,4). write the equation of the parabola in vertex form
Please helpp. Im math dumb :/
4 Answers

y = a(x – 4)² – 6
=> 4 = a(5 – 4)² – 6
=> 4 = a – 6
i.e. a = 2
so, y = 2(x – 4)² – 6
:)>

You are not dumb. Dumb means you cannot talk.
You are bright enough to ask for help. I call that SMART.
Y = A(X – H)Â² + K
Vertex = (H , K) = (4 , 6)…………H = 4 and K = – 6
Point is (X , Y) = (5 , 4)…………X = 5 and Y = – 4
Now solve for A by substituting in the values of H , K , X , Y
– 4 = A(5 – 4)Â² – 6
+6……………….+6
2 = A(1)Â²
A = 2
For the final answer replace A , H , K into the original equation
Y = 2(X – 4)Â² – 6………………ANSWER
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2(x4)^2 6

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