Answer:
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)
