Identify the parametric equations that represent the same path as the following parametric equations. x(t)=2cos2t y(t)=sin3t a. x(t)=2cos2t y(t)=sin6t b. x(t)=4cos4t y(t)=sin6t c. x(t)=2cos4t y(t)=sin6t d. x(t)=4cos2t y(t)=2sin3t

In mathematics, a parametric equation defines a group of quantities as functions of one or more independent variables called parameters. Generally this parameter is given by t. This type of equations are commonly used to express the coordinates of the points that make up a geometric object like a curve or surface, in which case the equations are collectively called a parametric representation or parameterization. In the figures below, the equation:

matches with this one: 

what is all that apply?

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?