Question

The graph of the function y = 3(x - 2)^3 + 7 is translated 2 units to the

right and then 4 units down. Write the equation of the final graph.​

Answer 1

• y = 3(x - 4)^3 + 3

Explanation:

Given function

• y = 3(x - 2)^3 + 7

Translation to the right achieved by adding - 2 to x-value

Translation down achieved by adding -4 to y-value

So the function becomes:

• y = 3(x - 2 - 2)^3 + 7 - 4 ⇒
• y = 3(x - 4)^3 + 3