Question

How does the graph of y = a(x – h)2 + k change if the value of h is doubled?

Answer 1

The graph of y = a(x – h)2 + k change if the value of h is doubled. It would be that the vertex of the parabola would move from h,k to 2h, k. It is the vertex that is most affected, the rest would follow. Hope this helps. Have a nice day.

Answer 2

we have

$y=a(x-h)^{2}+k$

this is the equation of a vertical parabola open up with vertex at point $(h,k)$

If the value of h is doubled

then

$y=a(x-2h)^{2}+k$

this is the equation of a vertical parabola open up with vertex at point $(2h,k)$

so

the rule of the translation is

$(x,y)---------> (x+h,y)$

that means

the translation is $h$ units to the right

therefore

the answer is

The vertex of the graph moves to a point twice as far from the y-axis.