Question

What would the equation be for the graph of a function that is translated 9 units down and 4 units to the left of `f(x) = x^2` and then vertically dilated by a factor of 1/2?

Answer 1

`1/2(x+4)^2-9`

Explanation:

Starting point `->f(x)=x^2`

Let `g(x)` be the 'modified' function

9 units down `->g(x)=x^2-9`

4 units left `->g(x)=(x+4)^2-9`

dilated by `1/2 -> g(x)=1/2(x+4)^2-9`