10. The equation of the parabola y = ax? + bx + c that passes through the points (-1, 9), (1, 5), and (2, 12). In each of these points, they have given the values for x and y that make the quadratic equation true. Plugging the three points in the general equation for a quadratic, we get a following system of three equations, where the variables stand for the unknown coefficients of that quadratic: c - b+a = 9, b+c+a = 5, 4a + 2b = c = 12 Solve the above system of equations for a, b, c by using Cramer's rule:

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.