What is the vertex form of f(x) = -5x^2-4x+9 ?

2s1piskh8n

2s1piskh8n

Answered question

2023-03-18

What is the vertex form of f ( x ) = - 5 x 2 - 4 x + 9 ?

Answer & Explanation

Kirchholm2b61

Kirchholm2b61

Beginner2023-03-19Added 5 answers

We have solution:
x-coordinate of vertex:
x = - b 2 a = 4 - 10 = - 2 5
y-coordinate of vertex:
y ( - 2 5 ) = - 5 ( 4 25 ) + 4 ( 2 5 ) + 9 = - 4 5 + 8 5 + 9 = 49 5
Vertex ( - 2 5 , 49 5 )
Therefore final answer:
Vertex form of f(x):
f ( x ) = - 5 ( x + 2 5 ) 2 + 49 5

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?