keeping in mind that the vertex is half-way between the focus point and the directrix, and since the focus point is above the directrix, meaning the parabola is a vertical parabola opening upwards, the parabola will more or less look like the one in the picture below, with a distance from the vertex of "p" being positive since it's opening upwards.
![\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}](https://tex.z-dn.net/?f=%5Ctextit%7Bvertical%20parabola%20vertex%20form%20with%20focus%20point%20distance%7D%20%5C%5C%5C%5C%204p%28y-%20k%29%3D%28x-%20h%29%5E2%20%5Cqquad%20%5Cbegin%7Bcases%7D%20%5Cstackrel%7Bvertex%7D%7B%28h%2Ck%29%7D%5Cqquad%20%5Cstackrel%7Bfocus~point%7D%7B%28h%2Ck%2Bp%29%7D%5Cqquad%20%5Cstackrel%7Bdirectrix%7D%7By%3Dk-p%7D%5C%5C%5C%5C%20p%3D%5Ctextit%7Bdistance%20from%20vertex%20to%20%7D%5C%5C%20%5Cqquad%20%5Ctextit%7B%20focus%20or%20directrix%7D%5C%5C%5C%5C%20%5Cstackrel%7B%22p%22~is~negative%7D%7Bop%20ens~%5Ccap%7D%5Cqquad%20%5Cstackrel%7B%22p%22~is~positive%7D%7Bop%20ens~%5Ccup%7D%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D)
![\begin{cases} h=0\\ k=0\\ p=\frac{1}{2} \end{cases}\implies 4(\frac{1}{2})(y-0)~~ = ~~(x-0)^2\implies 2y=x^2\implies y=\cfrac{1}{2}x^2](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D%20h%3D0%5C%5C%20k%3D0%5C%5C%20p%3D%5Cfrac%7B1%7D%7B2%7D%20%5Cend%7Bcases%7D%5Cimplies%204%28%5Cfrac%7B1%7D%7B2%7D%29%28y-0%29~~%20%3D%20~~%28x-0%29%5E2%5Cimplies%202y%3Dx%5E2%5Cimplies%20y%3D%5Ccfrac%7B1%7D%7B2%7Dx%5E2)
Answer:
Step-by-step explanation:
Of that list, only the square and the rectangle have the property you are asking for.
Try drawing it. The parallelogram has a shorter diagonal from the two obtuse angles than the diagonal from the two acute angles.
The rhombus has the same property as the parallelogram.
The kite has a far longer diagonal from the angle enclosed by the two long sides going to the angle enclosed by the two shorter sides, than a line going from the angle enclosed by one shorter and one longer side to the other angle made the same way.
Answer:
c
Step-by-step explanation:
Because, all of them are wrong.
Step-by-step explanation:
step 1. add the ratio part
1+2=3
step 2. use answer from step 1 and divide
54/3 is 18
step 3. use 18 into both of the mice
brown: 18*1 is 18 brown mice
. Gray: 18*2 is 56 gray mice
There fore there are 56 gray mice
Plugging in -2 into the function results in f(-2)=3*(-2)+4
f(-2)=-6+4= -2