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!

:)

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!