What is the vertex of the graph of y = 1/3 (x - 9)² + 5

Solution:

We know that

The vertex of a parabola is y = a (x - h)² + k

Where V (h, k) is the vertex

Given function is

y = 1/3 (x - 9)² + 5

Which is already in vertex form

By comparing it with the general form

a = 1/3

h = 9

k = 5

Therefore, the vertex of the graph is (9, 5).

What is the vertex of the graph of y = 1/3 (x - 9)² + 5

Summary:

The vertex of the graph of y = 1/3 (x - 9)² + 5 is (9, 5).