Consider a curve satisfying the equation y = ar²+bx+c.

Last updated: 7/17/2022

Consider a curve satisfying the equation y = ar²+bx+c. Suppose that • The curve passes through the point (3,66) and the tangent to the curve at this point is given by y = 23x - 3. • The curve intersects the y-axis at the point (0, 15). Find the values of a, b and c.