=0.5(x-4)^3-4 15 units to the left, 4 untis down

Answer 1

IF y=(1/2)(x-4)³ - 4

then transform this with 15 to left and 4 down

means change 4 to 19, 15+4. and change 4 to 4 = 0 for the y coordinate

Here's the general formula

y-k = a(x-h)³ originally you have (h,k) = (4,15) h=4, k=15

then change x left 15 to make 4 into 4-15=-11

and change y from 4 down 4 to make y=0