Question

Write the equation of the quadratic function with roots -10 and -8 and a vertex at (-9, -3).

Write the equation of the quadratic function with roots 0 and 2 and a vertex at (1, 5).

f Write the equation of the quadratic function with roots 6 and 10 and a vertex at (8, 2


Somebody show me the steps for these please. Its been explained already BUT I DONT UNDERSTAND IT. Please :/

Answer 1

For "Write the equation of the quadratic function with roots 6 and 10 and a vertex at (8, 2)"

a(x-6)(x-10) = a(x-8)^2 +2

Solve this for a.

Answer 2

in order to get the point that fct corss the xy axis, we have to know that -b/2a=-9, and let f=ax^2+bx+c.
then x1=-b+derta^0.5/2a
x1=-b-derta^0.5/2a
and derta=b^2-4ac
then u can get all of them

Answer 3

like the first one is fx=x^2+18x+84

Answer 4

sry! its fx=x^2+18x+78

Answer 5

Thank you.