I already found the vertex, but can someone help me find the latus rectum of this parabola?
2 answers:
Answer:
Step-by-step explanation:
y=x²+7
vertex(0,7)
the length of latus rectum in a parabola equal to four times the focal length :
y=x²+7
focus X=-b/2a=0
focus Y=c- (b²-1)/4a=7+1/4=29/4
focus (0 , 29/4)
latus rectum is 29/4
(x-h)^2 = 4p (y-k) 4p is the length of the latus rectum with vertex(0,7)
(0-0)²=4p(29/4-7)
0=29p-28p=1p
the length of the latus rectum is 1
Answer:
1
Step-by-step explanation:
The short answer is that <em>the length of the latus rectum is the reciprocal of the magnitude of the leading coefficient</em>.
In y = x^2 +7, the leading coefficient is 1.
latus rectum = 1/|1| = 1
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