One of my students posted this example of a vertical stretch and wrote the words “wider and taller”…and I said, “wait a sec!”
Usually a vertical stretch makes the graph look taller and “thinner”; but, when I thought about this, it seems that we usually look at graphs where the curves face inward (toward the axis of symmetry or some other center-ish axis). I am thinking of a parabola, a cubic, or a sinusoidal function. Here however, the curves open away from the center and thus the vertical stretch gets wider.
