
Step-by-step explanation:
The vertex form of the equation for a parabola is given by

where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as
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Also, since the parabola passes through (4, -7), we can use this to find the value for a:

or

Therefore, the equation of the parabola is
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The perimeter should be about 66
Find the slope first using m=y2-y1/x2-x1
-4-4/0-4 =2
The y intercept is when x=0.
One of the given points is (0,-4)
The y intercept is y=-4
1/2+ 1/4
= 2/4+ 1/4
= 3/4
1/12+ 1/6
= 1/12+ 2/12
= 3/12
= 1/4
Therefore, 1/4+ 1/6+ 1/12
= (1/12+ 1/6)+ (1/12+ 1/6)
= 2*(1/12+ 1/6)
= 2* (1/4)
= 2/4
= 1/2
Hope this helps~