Question

The graph of f(x) = x^3 is stretched vertically by a factor of 6. The graph

is then translated 9 units to the right and 3 units down. Write the equation of the transformed function.

Answer 1

6(x - 9)^3 - 3

Explanation:

1. Vertical Stretching : f(x) -> g(x):
`g(x) = 6x^(3)`

2. Horizontal Move: g(x) -> h(x):
`h(x) = 6{(x - 9)}^(3)`

3. Vertical Move: h(x) -> F(x):
`F(x) = 6{(x - 9)} ^(3) - 3`

Answer 2

Transformed equation: 6(x-9)³ - 3

Explanation: