Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = - 2x2 + 6x - 1.

x = 3; vertex: (3, 35)

x = - 1.5; vertex: (-1.5, - 5.5)

x = 1.5; vertex: (1.5, 3.5)

x = - 1.5; vertex: (-1.5, - 14.5)

The answer to your question is x = 1.5 Vertex = (1.5, 3.5)

Step-by-step explanation:

Data

Function

y = - 2x² + 6x - 1

Process

1. - Find the canonical form of the equation

y = - 2x² + 6x - 1

y + 1 = - 2x² + 6x

y + 1 = - 2 (x² - 3x)

y + 1 - 18/4 = - 2 (x² - 3x + 3/2²)

y - 7/2 = - 2 (x - 3/2) ²

2. - Find the vertex

(3/2, 7/2) = (1.5, 3.5)

3. - Find the axis of symmetry

The axis of symmetry is the "x" coordinate.

axis of symmetry = 1.5