Question

Find the equation of the quadratic function with zeros 16 and 18 and vertex at (17, -2).

Answer 1

y = a (x - 18) (x - 16)

plug (17,-2) in for x and y and solve for a

Answer 2

do any of yall know this? @mathmale @jim_thompson5910 @ranga

Answer 3

i got an answer that isnt one of my choices.. im confused @sourwing

Answer 4

you need to expand the equation if the choices are in standard form. Or you need to put it in vertex form if the choices are vertex form

Answer 5

as sourwing is saying,

y = a (x - 18) (x - 16)

y = a (17 - 18) (17 - 16) ... plug in x = 17

-2 = a (17 - 18) (17 - 16) ... plug in y = -2

-2 = a*(-1)*(1)

-2 = -a

a = 2

Answer 6

so you now have

y = 2(x - 18)(x - 16)

expand that out if necessary

Answer 7

how do i expand?

Answer 8

create a 2x2 box with the terms outside like so