Which equation defines the graph of y=x^3 after it is shifted vertically 5 units down and horizontally left 4 units
a) y=(x-4)^3 - 5
b) y=(x+5)^3 - 4
c) y=(x+5)^3 + 4
d) y=(x+4)^3 - 5

Option D

The function shifted vertically 5 units down and horizontally left 4 units is,

Step-by-step explanation

The function is given by, y=

To move a function shift vertically 5 units down

We know that moving the function down, you subtract outside the function i.e, ; moved down c units.

Therefore, the function f(x) vertically shift 5 units down by  

Now, to move a function horizontally 4 units left.

To shift the function left add inside the function's argument i.e, gives f(x) shifted a units to the left.

so, the function f(x) horizontally left 4 units i.e, f(x+4)=

Now, the graph of the function after it is shifted vertically 5 units down and horizontally left 4 units is,

ome people is not even worth it to even try it in the air.

step-by-step explanation:

multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.