Question

A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (3,−5). What is the vertex of the function defined as g(x)=−f(x−2)?

Answer 1

`(5,5)`

Explanation:

`f(x-2) \text{ Shifts graph right 2}`

`\text{Vertex is now } (5, -5)`

`-f(x-2) \text{ Reflects graph across x-axis}`

`\text{Vertex is now } (5,5)`