Describe each transformation that must be applied to f(x)=x² to get the function g(x)=1/2(x+2)² (30 POINTS)

translate 2 units to the left and compress by 1/2 in the y direction

Step-by-step explanation:

f(x)=x²

y = f(x + C)  C > 0 moves it left

We add 2 to move it 2 units to the left

h(x) = (x+2)^2

y = Cf(x)0 < C < 1 compresses it in the y direction

g(x) = 1/2 (x+2)^2

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !