Question

I need help answering this question. C:
What is the quadratic function that is created with roots at 2 and 4 and a vertex at (3, 1)?

Answer 1

f(x) = -3x2 + 12x?

Answer 2

it may be
f(x)= 1 - (x-3)^2

Answer 3

It can't be because my choices are.


f(x) = -3x2 + 12x

f(x) = 3x2 − 12x

f(x) = 2x2 − 8x

f(x) = -2x2 + 8x

Answer 4

f(x) vanishes at x=2 and x=4
and has the vertex at 3,1

Answer 5

if so it may be
f(x) = 3x2 − 12x

Answer 6

Wait no! Omg! Fail on my part!

f(x) = -x2 + 6x − 8

f(x) = x2 − 6x − 8

(x) = -x2 + 6x − 8

(x) = x2 − 6x + 8

Answer 7

Those are the REAL choices

Answer 8

i think it is the first one
the equations is given by
f(x) = a(x-2)(x-4)
to determine (a) we must use the vertex (3,1)