S = r*θ . . . . where θ is in radians
s = (15 in)*(100°*π/180°)
s = 25π/3 in ≈ 26.18 in
to vertically compress a function, f(x) by a factor of d, we multiply the whole function by d, so f(x) becomes d*f(x)
to shift a function to the right by c units, subtract c from every x
so f(x) becomes f(x-c)
to shift a function up by c units, add c to the whole function
so f(x) becomes f(x)+c
ok, given f(x)=5x
vertically compress by 1/4, multiply whole thing by 1/4
![f(x)=\frac{5}{4}x](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B5%7D%7B4%7Dx)
shift right 3 units, minus 3 from every x
![f(x)=\frac{5}{4}(x-3)](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B5%7D%7B4%7D%28x-3%29)
shift up 2 units so add 2 to whole function
![f(x)=\frac{5}{4}(x-3)+2](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B5%7D%7B4%7D%28x-3%29%2B2)
if you expand it you get
![f(x)=\frac{5}{4}x-\frac{7}{4}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B5%7D%7B4%7Dx-%5Cfrac%7B7%7D%7B4%7D)
A) 2y = f(x) ⇒ y =
f(x) → This is a vertical shrink by a factor of ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
B) y = f(2x) → This is a horizontal shrink by a factor of ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Answer:
-8a
Step-by-step explanation:
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