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Answer:
Vertex = (7,5)
Length of latus rectum = 2 units
Step-by-step explanation:
The vertex form of a parabola is
...(1)
where, (h,k) is vertex and length of latus rectum is .
The given equation is
...(2)
On comparing (1) and (2), we get
So, vertex of parabola is (7,5).
Length of latus rectum is
Therefore, the length of the latus rectum is 2 units.
<h3>Given</h3>
... 4 - |2x -1| = -3
<h3>Find</h3>... x
<h3>Solution</h3>Add |2x-1|+3
... 7 = |2x-1|
This resolves to two equations:
... -7 = 2x-1
... -6 = 2x
... -3 = x
and ...
... 7 = 2x -1
... 8 = 2x
... 4 = x
The two solutions are x = -3 and x = 4.