Given the function y = x²
We will find the function that is similar to the given function translated 6 units to the right, narrowed by a factor of 8, and translated 2 units up.
So, starting from y = x²
When the function translated 6 units to the right ⇒ y = (x-6)²
When the function narrowed by a factor of 8 ⇒ y = 8(x-6)²
Finally, when the function translated 2 units up ⇒ y = 8(x-6)² + 2
So, the answer will be:
[tex]y=8(x-6)^2+2[/tex]
