Final answer:
A Cartesian equation of a parabola that opens to the right can be written in the form y = ax^2 + bx + c. The coefficient of the x^2 term (a) must be positive (a > 0) for the parabola to open to the right. Additional information about the parabola, such as the vertex or a point on the curve, is necessary to determine the values of a, b, and c.
Step-by-step explanation:
A Cartesian equation of a parabola that opens to the right can be written in the form y = ax^2 + bx + c. This equation represents a parabola with its axis of symmetry parallel to the y-axis and opens to the right if the coefficient of the x^2 term is positive (a > 0). To determine the values of a, b, and c, you need additional information about the parabola, such as the vertex or a point on the curve.
For example, if you know the vertex of the parabola is (h, k), the equation can be written as y = a(x - h)^2 + k. If you have a specific problem or more information about the parabola, please provide it so that a more specific equation can be derived.