Question

The quadratic function f(x) has a vertex at (9, 8) and opens upward. If g(x) = 4(x − 8)2 + 9, which statement is true?

Answer 1

G(x) would involve a translation left 1 and up 1.

g(x) is written in vertex form, which is

g(x) = a(x-h)²+k, where (h, k) is the vertex.  Since
g(x) = 4(x-8)²+9, the vertex is at (8, 9).  Comparing this to the vertex of f(x), which is at (9, 8), it is left 1 and up 1.