Respuesta :
Answer:
just think(0,6) as A,(4,-2) as B and (6,0)as C then join ABC and you will get your's parabola
Answer:
[tex]y = \dfrac12x^2 - 4x + 6[/tex]
Step-by-step explanation:
vertex form of parabola: y = a(x - h)² + k
where (h, k) is the vertex
Given vertex = (4, -2) :
⇒ y = a(x - 4)² - 2
Given y-intercept = (0, 6) substitute values into equation and solve for a:
⇒ 6 = a(0 - 4)² - 2
⇒ 6 = 16a - 2
⇒ 16a = 8
⇒ a = 1/2
Therefore, equation of parabola:
⇒ y = 1/2(x - 4)² - 2
⇒ y = 1/2(x² - 8x + 16) - 2
⇒ y = (1/2)x² - 4x + 6