Answer:
According to the picture, we can have the function form as:
y = ax^2 + bx + c
The y-intercept is (0, 2) => c = 2
=> y = ax^2 + bx + c
The x-intercept is (-2, 0)
=> 4a - 2b = 0 (1)
The graph goes through (1, 1.5)
=> a + b + 2 = 1.5
=> a + b = -0.5 (2)
From (1) and (2)
=> 4a - 2(-a - 0.5) = 0
=> 6a + 1 = 0
=> a = -1/6 => b = -0.5 - (-1/6) = -1/2 + 1/6 = -15/30 + 5/30 = -10/30 = -1/3
=> y = (-1/6)x^2 -(1/3)x + 2
Hope this helps!
:)
