Question

Can someone help me some this

Answer 1

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 2

`y = \frac12x^2 - 4x + 6`

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