Question

What is the quadratic function that is created with roots at 2 and 4 and a vertex at (3, 1)?

Answer 1

say the quadratic is,

a(x-2)(x-4)

Answer 2

y = a(x-2)(x-4)

Answer 3

since it passes through vertex (3,1)
plugin x=3, y=1

1 = a(3-2)(3-4)
1 = a(1)(-1)
a = -1

Answer 4

so the quadric wud be
y = -1(x-2)(x-4)

multiply and simplify

Answer 5

y = -1(x-2)(x-4)?

= -x2 + 6x − 8
(x) = -x2 + 6x − 8

Answer 6

@sara12345