The general form of an parabola is 2x2−12x−3y+12=0 .

what is the standard form of the parabola?

The standard form of the parabola is

Step-by-step explanation:

The standard form of a parabola is

.

In order to convert into the standard form, we first separate the variables:

we now divided both sides by 2 to remove the coefficient from and get:

.

We complete the square on the left side by adding 3 to both sides:

now we bring the right side into the form by first multiplying the equation by :

and then we multiplying both sides by to get

.

Here we see that

Thus, finally we have the equation of the parabola in the standard form:

d

step-by-step explanation:

d