Question

1.

Identify the vertex, complete the table, and graph g(x) = (x - 4)2 – 5.
y
g(x)
X
Vertex:

Answer 1

g(x) = (x - 4)^2 - 5, and the vertex is (4, -5)

Explanation:

Please, use " ^ " to indicate exponentiation: g(x) = (x - 4)^2 – 5. Comparing this to y = a(x - h)^2 + k, we see that h must be 4 and k must be -5. Thus, the vertex is (4, -5).

Make a table showing several x-values and the corresponding y-values:

x g(x) = (x - 4)^2 - 5 (x, y)

0 (-4)^2 - 5 = 11 (0, 11)

4 (4 - 4)^2 - 5 = -5 (4, -5)