How does the graph of y = a(x – h)2 + k change if the value of h is doubled?
the vertex of the graph moves to a point twice as far from the x-axis.
the vertex of the graph moves to a point twice as far from the y-axis.
the vertex of the graph moves to a point half as far from the x-axis.
the vertex of the graph moves to a point half as far from the y-axis.

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

Step-by-step explanation:

Here, the given equation is,

Which is the vertex form of a parabola along y-axis having vertex = (h,k),

After doubling the value of h,

The equation of new parabola,

Having vertex = (2h, k),

Since, if (x,y) are the coordinates of a point,

Then x is the distance of the point from y-axis and y is distance of the point from x-axis.

Thus, By comparing,

Vertex (h,k) is h unit far from y-axis and k unit far from x-axis,

Similarly, vertex (2h,k) is 2h unit far from x-axis and k unit far from x-axis,

Hence, The vertex of the graph moves to a point twice as far from the y-axis after doubling the value of h.

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step-by-step explanation: