Question

I need help/ explanation. Algebra 2 15 points

Stretch the graph of f(x) vertically by a
factor of 2.

I need to know how to do this.

Answer 1

For each point on the curve given, make a new point that has the same x value but double the y value.

Explanation:

Pick several points on the graph given. the easiest points to pick would be (-2, 0), (0, 2) and (2, 0). That's the point on the far left, the point on the top of the curve in the middle, and the point on the far right. For each of these points, make a new point that's twice as high but has the same position left/right. For the far left point and the far right point, the new point will be the same as the old point because the height is zero and double zero is still zero. For the point in the middle the new height will be four since the old height was just two. Then draw a nice curve through those points and you will have the answer. It will be a mound that's twice as tall as the current mound but the same width.