What is the vertex form of the equation

y = - x^2+10x-30

The answer to your question is Vertex = (5, - 5)

Step-by-step explanation:

Data

Equation y = - x² + 10x - 30

Process

1. - Add 30 units in both sides

y + 30 = - x² + 10x - 30 + 30

2. - Simplify

y + 30 = - x² + 10x

3. - Factor - 1 in the right side

y + 30 = - (x² - 10x)

4. - Complete the perfect square trinomial

y + 30 - 5² = - (x² - 10x + 5²)

5. - Simplify

y + 30 - 25 = - (x² - 10x + 25)

y + 5 = - (x - 5) ²

6. - Find the vertex

Vertex = (5, - 5)