I don't know what to do anymore,modeling the equation y=a3x^3 + a2x^2 + a1x +a0

Hello how are you, I have a task where I have to model a cubic function with start coordinates and end coordinates, the curves must be in the middle. Please help me

Equation y=a3x^3 + a2x^2 + a1x +a0

These are the coordinates:

Initial(100,2900) final(2600,800)

Thank you

Answer 1

[Image Analyst]

Two points is not enough to fit a cubic. You'd need at least 4 points. If you have 4 x and 4 y then you can do

x = sort(10 * rand(1, 4));
y = 10 * rand(1, 4);
plot(x, y, 'b.', 'MarkerSize', 30);
grid on;
coefficients = polyfit(x, y, 3)

coefficients = 1×4

0.2599 -3.6261 12.9042 -2.2341

xFit = linspace(min(x), max(x), 1000);
yFit = polyval(coefficients, xFit);
hold on;
plot(xFit, yFit, 'r-', 'lineWidth', 2);
xlabel('x');
ylabel('y');
legend('training data', 'Fitted Curve')

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[Nohemi Yazmin]

Thank you so much, I will ask my teacher what happen with the others points, you are so kind :)