f(x)=x^2 is vertically stretched by a factor of 9 and translated 2 units up to create g. Write this in vertex form.

Question

This is a problem on an exam I have, I don’t understand it and I don’t know the answer. 

Answer 1

Greetings! Lets solve this shall we ?

So, we must solve this via translation of a function from parent function to final stages such that

f(x) = x²

g(x) = (1/9)x² + 2

Stretched by a factor of 9 means that it is 1/9 as the coefficient.

I hope this helped!