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The vertex of the graph moves to a point twice as far from the y-axis.
Option B is the right answer.
The general equation of a parabola is
y = a(x-h)² + k
or
x = a(y-k)² +h
where (h,k) denotes the vertex.
It is given in the question that the value of h is doubled for the equation given
y = a(x-h)² + k
if the value of the h is doubled, the vertex of the graph shifts and shifts on the x axis away from the y axis , therefore
the vertex of the graph moves to a point twice as far from the y-axis.
Option B is the right answer.
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