Question

**Write the formula in vertex form for thefunction whose graph is the graph of y = x2translated 6 units to the right, narrowed by afactor of 8, and translated 2 units up.

Answer 1

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:

$y=8(x-6)^2+2$