Max M. answered • 03/23/20
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Maybe, if you looked at my answer to your previous, you want to try this one on your own first.
Otherwise, since it's now a horizontal stretch / shrink, we're changing the x value, the input.
Real quick, before I go on, graph (or look up the graphs for):
a) y=x^2
b) y=(2x)^2
c) y=(x/2)^2
and see what's happening to the graph as you put different multipliers in front of x.
What you should see is that if you change every x to 2x, the graph shrinks horizontally, because you're getting to the y values twice as fast. In other words, want to get to the y you get when x=2? Now you're getting there when x=1. Want to get to the y when x=4? Now you get there when x=2. When x=100? Now when x=50.
If you change every x to (1/2)x or x/2, you have the opposite effect; it takes twice as long to get to the y value you get in the parent function. Want to see what y is when x=4 in the parent function? Now you have to wait till x=8.
Does that help you do the first part? If we want a horizontal shrink by 1/2, we change every x in the parent function to 2x.
Then for translations up or down, we add or subtract a number after we've done everything else. This is down 3, so you'll subtract 3.
Hit me up if you'd like more explanation.
