The coordinates below are the three vertices of a rectangle. Identify the fourth
1 answer:
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We can look at the graph
Vertex:
we know that vertex is the point where parabola changes it's shape
we can see that
vertex is at (0.5,-0.75)
Axis of symmetry:
we know that axis of symmetry of parabola is always x-value of vertex
we can see that
x-value of vertex is 0.5
so, axis of symmetry is
Formula for the function:
we know that this is graph of parabolas
so, we can use vertex formula of parabola
where
(h,k) is vertex
Here , we got
vertex as (0.5 , -0.75)
h=0.5 and k=-0.75
now, we can plug these values
now, we need to find 'a'
we can select any one point of parabola
and then we can find 'a'
We can see that one of point is (0,-1)
so, we can plug x=0 and y=-1
now, we can plug it back
and we get
now, we can expand it
so, option-D..........Answer