Question

The equation of the quadratic function with roots 6 and 10 and a vertex at (8, 2) is f of x equals 1/2x^2 plus 8x-30. True or false? Medals given(:

Answer 1

8=D

Answer 2

give me my medal lol

Answer 3

Um..

Answer 4

well lots of ways to look at it...

you know the roots so

f(x) = a(x -6)(x -10)

which is

\[f(x) = a(x^2 - 16x + 60)\]

looking at the given value of a, its a = 1/2
so substiute the vertex x = 8 and y = 2 so see if a = 1/2

so

2 = 1/2(8^2 -16(8) + 60)

2 = 1/2(-4)

so does 2 = -2

thats what you need to decide

Answer 5

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Answer 6

So it's false?

Answer 7

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Answer 8

that would be my answer

Answer 9

Next question Find the equation of the quadratic function with zeros 10 and 14 and a vertex at (12, -8).

Answer 10

well f(x) =a(x -10)(x -14)

substitute (12, -8) to find a

Answer 11

y = -2x2 − 48x + 280