Question

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

A) The vertex of the graph moves to a point twice as far from the x-axis.
B) The vertex of the graph moves to a point twice as far from the y-axis.
C) The vertex of the graph moves to a point half as far from the x-axis.
D) The vertex of the graph moves to a point half as far from the y-axis.

Answer 1

Doubling the value of h in the equation y = a(x - h) + k corresponds to a horizontal shift of the graph. The vertex of the graph moves to a point twice as far from the x-axis.

Step-by-step explanation:

When the value of y is changing as a function of x (that is, different values of x correspond to different values of y), a graph of this change can be plotted or sketched. The graph can be produced by using specific values for (x,y) data pairs. In the equation y = a(x - h) + k, the value of h corresponds to a horizontal shift of the graph. Doubling the value of h would cause the graph to shift twice as far in the x direction. Therefore, the correct answer is A) The vertex of the graph moves to a point twice as far from the x-axis.