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# What is the vertex of g(x) = -3x^{2} + 18x + 2?

**Solution:**

We know that vertex form of a parabola is is

y = a (x - h)^{2} + k

Where (h, k) is the vertex

g(x) = -3x^{2} + 18x + 2 [Given]

It can be written by completing the square as:

y = -3x^{2} + 18x + 2

=-3(x^{2} + 6x)+ 2

= -3(x^{2} + 6x+ 9)+ 2 + 27

y = - 3(x - 3)^{2} + 29

Comparing this with the standard form

a = -3

h = 3

k = 29

Therefore, the vertex is (3, 29).

## What is the vertex of g(x) = -3x^{2} + 18x + 2?

**Summary:**

The vertex of g(x) = -3x^{2} + 18x + 2 is (3, 29).

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