How do you graph #y=4sin(1/2x)+2#?
1 Answer
Start with the basic
Explanation:
First let's look at the basic sin graph:
graph{sinx [-6.25, 6.25, -5, 10]}
And now let's make our adjustments.
Let's first look at the 4 and the 2. These change the min and max y values. The 4 expands the graph from the usual min = -1 and max = 1 by a factor of 4 to min = -4 and max = 4. The 2 lifts the graph up by 2, and so that makes min = -2 and max = 6.
That looks like this:
graph{4sin(x)+2 [-6.25, 6.25, -5, 10]}
With me so far?
Ok - so the
This is what the adjustment for the
graph{sin((1/2)x) [-6.25, 6.25, -5, 10]}
Putting it all together, we get:
graph{4sin((1/2)x)+2 [-6.25, 6.25, -5, 10]}
Some helpful points -
midline of the graph is at
min y value
max y value
