Writing an equation from graph

Question

The shape of f(x) = x²,

 but shifted four units to the right and nine units down

Answer 1

The above response is correct. Try playing around with the tool on the website that I am providing a link to. It should help you to understand any arithmetic changes from a visual standpoint.

https://www.desmos.com/calculator/zuaqvcvpbz

Answer 2

If f(x) = x², then this transformation can be written as g(x) = (x - 4)² - 9.