Answer:
The answer to your question is (-2, 5), the second choice
Step-by-step explanation:
Data
Function A(x) = -x² - 4x + 1
Process
1.- Express A(x) as y
y = -x² - 4x + 1
2.- Subtract 1 in both sides
y - 1 = -x² - 4x
3.- Factor -1 in the right side
y - 1 = -1(x² + 4x )
4.- Complete the Perfect square trinomial
y - 1 - (2)²= -1 (x² + 4x + (2)²)
5.- Simplify
y - 1 - 4 = -1(x² + 4x + 4)
6.- Factor and simplify
y - 5 = -1(x + 2)²
7.- Find the vertex
V (-2, 5)
