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

2
by djdelacruz19

2015-02-13T14:58:23+08:00
Vertex = (0,0)
focus = (0,-7/8)
latus rectum =(-7/4,-7/8) and (7/4,-7/8)
directrix ; y=7/8.

2015-02-13T18:34:06+08:00

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
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)