In Desmos, choose all transformations being applied too y= 1/23 square root of x+5+3
Select all that apply:
vertical compression/shrink by 1/2
vertical stretch by 2
Left 5
Right 5
Up 3
Down 3
A vertical stretching is the stretching of the graph away from the x-axis
A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis.
• if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k.
• if 0 < k < 1 (a fraction), the graph is f (x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.
• if k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.
Notice that the "roots" on the graph stay in their same positions on the x-axis. The graph gets "taffy pulled" up and down from the locking root positions. The y-values change.
if our function is
a) vertical compression/shrink by 1/2
b) vertical stretch by 2
c) Left 5
d) Right 5
e) Up 3
f) Down 3
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