Question

6. Explain what must occur to the parent

function f(x) = x² to transform the
function to g(x) = (x-4)² +2.

Answer 1

4 units right, 2 units up

Explanation:

For
`g(x)=(x-4)^2+2`, the graph of
`f(x)=x^2` would need to move 4 units to the right and 2 units up. Hence, the vertex would be
`(4,2)` if we compare the function g(x) with the form
`y=a(x-h)^2+k`.