Answered

Makahanap ng mga solusyon sa iyong mga problema gamit ang IDNStudy.com. Ang aming komunidad ay handang magbigay ng malalim at maaasahang mga sagot, anuman ang kahirapan ng iyong mga katanungan.

Find the coordinates of the vertex, focus, and endpoints of the lactus rectum. Also, find the equation of the directrix. Then sketch the graph of the parabola.
x^2 = -7/2 y

Sagot :

Palsme9971idn
vertex = (0,0)
focus = (0,-7/8)
latus rectum =(-7/4,-7/8) and (7/4,-7/8)
directrix ; y=7/8. 


Jers15idn
x²=-7/2y
If the x is squared, then it opens either upward or downward, but since the y is negative, we can classify it as downward, if its positive, it opens upward.

The vertex is (0,0) because if there is no constant value, then the vertex is automatically (0,0). In order to find the other remaining questions, we need to get a, which is the distance of the vertex to the focus.

formula for parabola with vertex (0,0)
x²=-4ay

x²=-7/2y
x²=-4(7/8)y
a=7/8

The focus is (0,-a) which is (0,-7/8)
The directrix is y=7/8
the endpoints of latus rectum is (-7/4,-7/8) and (7/4,-7/8)


View image Jers15
Maraming salamat sa iyong aktibong pakikilahok. Magpatuloy sa pagtatanong at pagbahagi ng iyong mga ideya. Sama-sama tayong lumikha ng isang mas matibay at produktibong komunidad ng kaalaman. Para sa mga de-kalidad na sagot, piliin ang IDNStudy.com. Salamat at bumalik ka ulit sa aming site.