how does the graph of y = a(x - h)^2 + k change if the value of h is doubled?\nthe vertex of the graph moves…

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

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

Answer

Brief Explanations:

The vertex - form of a quadratic function is (y = a(x - h)^2 + k), and its vertex is ((h,k)). When (h) is doubled to (2h), the (x) - coordinate of the vertex changes from (h) to (2h). The distance of a point ((x,y)) from the (y) - axis is given by (|x|). So, the vertex moves to a point twice as far from the (y) - axis.

Answer:

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