FIFTY POINTS!
Please help me create the rational function that fits this graph!
PLEASE LOOK AT FILE ATTACHED!

WILL GIVE BRAINLIEST! THANK YOU

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!

:)

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step-by-step explanation:

first you will have to convert 3/4 into a decimal

which is .75

then you will have to divide 1.5 by .75

which is 2

no you have to divide