Question

A parabola representing a quadratic equation has x-intercepts at (2,0)(2,0)and (4,0)(4,0)and a third point with coordinates at (6,1)(6,1). Which quadratic equation in intercept form accurately represents this information?(1 point)Responsesy=−2(x+2)(x+4)𝑦=−2(𝑥+2)(𝑥+4)y is equal to negative 2 open paren x plus 2 close paren open paren x plus 4 close pareny=2(x−2)(x−4)𝑦=2(𝑥−2)(𝑥−4)y is equal to 2 open paren x minus 2 close paren open paren x minus 4 close pareny=−18(x−2)(x−4)𝑦=−18(𝑥−2)(𝑥−4)y is equal to negative 1 eighth open paren x minus 2 close paren open paren x minus 4 close pareny=18(x−2)(x−4)

Answer 1

Let y = a(x − 2)(x − 4). Plug in (6,1):

1 = a(6 − 2)(6 − 4) = a(4)(2) = 8a → a = 1/8.

So the correct equation is y = (1/8)(x − 2)(x − 4).