211k views
4 votes
What is the vertex form of the equation

y= -x^2+10x-30

User Urir
by
8.6k points

1 Answer

2 votes

Answer:

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

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

6.- Find the vertex

Vertex = (5 , -5)

User Mesut
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories