How does the graph of y = a(x – h)^2 + 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.

Question

How does the graph of y = a(x – h)^2 + 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.

anonymous · Answer

b

anonymous · Answer

Quadratic equation in form of 

 y = a(x – h)^2 + k

has the characteristic that (h, k) is the vertex of the parabola.

Therefore, if we double the value of h, we are moving twice as far from point x, which makes the answer b.