Question

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.

Answer 1

Answer:

Answer:

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

Step-by-step explanation:

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.

because the role of h is to indicate the distance of the vertex from the y-axis.

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Answer 2

Answer:

Option (B) is correct. Therefore, the vertex of the graph moves to a point twice as far from the y-axis.

Step-by-step explanation:

So, according to question we have

$y = a(x-h)^{2} + k$

The equation for a vertical parabola with a vertex at point (h,k) will look like this.

If the value of h is doubled, then

$y = a(x-2h)^{2} + k$

This equation of vertical parabola open up with vertex at point (2h,k) so,

The rule of the translation is

$(x,y) ---- (x+h,y)$

The translation is $h$ units to the right.

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

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