Answer:
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:

Sin²t +cos²t =1
<span> x=2+3 sin t
sin t=(x-2)/3
</span><span>y=1-1/2cos t
y-1= - (cos t)/2
cos t =-(y-1)/(1/2)
</span>(x-2)²/3² + (y-1)²/(1/2)² = 1
Ellipse
Here are the full questions with the answers underlined.