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

Option B : The vertex of the graph moves to a point twice as far from theyx-axis.

Step-by-step explanation:

The Given Equation is

rewriting the given equation it becomes the standard equation of parabola.i.e.,

where (h,k) is vertex of the parabola.

This parabola is opened toward positive y axis.

If we doubled the value of h the vertex moves in right direction of initial position as 2h is greater than h or 2h is on right side of h on x-axis.

Since, 2h is twice of h. Therefore, vertex moves twice as far from initial vertex.

Option B is Correct : The vertex of the graph moves to a point twice as far from the y- axis.

add 5 subtract 1

step-by-step explanation:

a.)the line for function b is steeper