Midline and Vertical Shift Worksheet with Answer Key

What's on the worksheet

1. Give the midline, the highest and lowest values, and the range of each function.
   y = 5\sin(3x) + 4y = -\dfrac{3}{2}\cos\left(\dfrac{x}{2}\right) - 1y = 4 - 6\sin xy = \dfrac{\cos(\pi x) + 3}{2}y = -3(2\cos x - 5)
2. The graph of y = a x + k has midline y = 4 and highest value 6, and it reaches that highest value at x = 3π2.
3. Let $f
4. Let $f
5. Let $f
6. Diego rocks in a rocking chair on a porch at a steady pace.