Final answer:
The standard form of a parabola is given by the equation y = ax^2 + bx + c. To convert a parabolic equation to standard form, rearrange the terms in the form y = ax^2 + bx + c. The coefficient a determines the shape of the parabola, while the coefficients b and c determine its position and orientation.
Step-by-step explanation:
The standard form of a parabola is given by the equation y = ax^2 + bx + c. This form represents a parabola with a vertical axis of symmetry. The coefficient a determines the direction and shape of the parabola, while the coefficients b and c determine its position and orientation.
To convert a parabolic equation to standard form, you need to rearrange the terms so that the equation is in the form y = ax^2 + bx + c. This can be done by completing the square or by factoring.
For example, if you are given the equation y = x^2 + 2x - 3, you can see that it is already in standard form. The coefficient a is 1, b is 2, and c is -3.